Limits Library
1041 problems with step-by-step solutions
lim(x^2+x-2)/(x-1)
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lim(e^x-1)/x
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limsin(x)
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lim1/x^2
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lim(x^3-1)/(x-1)
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limsin(x)/x
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lim(sqrt(x)-1)/(x-1)
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limln(x)/(x-1)
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limtan(x)
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lim1/x^2
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limsin(x)
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lim(x^2-1)/(x-1)
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limtan(x)/x
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limtan(x)
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limcos(x)
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limsin(x)
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lim1/x
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lim(x^2-4)/(x-2)
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limcos(x)
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limsin(x)
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limtan(x)
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limx^2
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limx^2
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lim1/x
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lim1/x^2
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limcos(x)
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lim1/x
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lim1/x^2
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limsin(x)
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limcos(x)
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lim1/x
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limcos(x)
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limx^2
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limtan(x)
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limtan(x)
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limx^2
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lim1/x^2
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lim1/x
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limx^2
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limabs(x) / 5*ln(x)
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lim2*ln(x) / e^x
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lim(1/1/(x^2)) - (1/1/(x^2))
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lim(sin(x) * 3*x^2) / ln(x)
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lim3*x / 5*sin(x)
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lim2*sqrt(x) / 4*1/x
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limsqrt(2*cos(x)) - sqrt(2*ln(x))
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lim(x^3 * sqrt(x)) / x
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lim(x^3 * 3*e^x) / abs(x)
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limsqrt(abs(x)) - sqrt(x)
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limsqrt(1/(x^2)) - sqrt(2*1/x)
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lim(e^x * 3*x^2) / 1/(x^2)
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limsqrt(5*cos(x)) - sqrt(4*abs(x))
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limsqrt(sqrt(x)) - sqrt(ln(x))
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lim4*sqrt(x) / cos(x)
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limln(x) / 5*abs(x)
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lim(abs(x) * 4*x) / abs(x)
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lim(sqrt(x) - cos(x)) / (tan(x) - 1/x)
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lim2*sqrt(x) / 4*abs(x)
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lim(3*1/x * 5*x^2) / 1/(x^2)
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lim(1/x^2) - (1/x^2)
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lim(x^2 - 3*x) / (sin(x) - 1/x)
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lim(sqrt(x) - sin(x)) / (sqrt(x) - x^2)
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lim(ln(x) * 4*1/(x^2)) / x^2
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limsqrt(tan(x)) - sqrt(1/(x^2))
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lim(1/3*sin(x)) - (1/1/(x^2))
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lim(x^2 * 3*tan(x)) / e^x
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limsqrt(x) - sqrt(sqrt(x))
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lim(tan(x) * x) / x
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limabs(x)^2 - 3*x^2
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limsqrt(tan(x)) - sqrt(ln(x))
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lim1/(x^2) / 4*x
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lim(3*1/x * 5*cos(x)) / x^2
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lim(1/(x^2) - 2*abs(x)) / (ln(x) - cos(x))
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lim(1/x * 4*x) / e^x
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lim3*e^x^2 - 1/(x^2)^2
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lim(abs(x) * 3*sqrt(x)) / x^3
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lim3*1/(x^2) / ln(x)
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lim(1/(x^2) * x^2) / 1/(x^2)
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limsqrt(1/x) - sqrt(e^x)
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lim(1/ln(x)) - (1/3*e^x)
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limsqrt(4*1/(x^2)) - sqrt(4*sin(x))
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lim5*e^x / abs(x)
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limcos(x)^2 - 4*e^x^2
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limsqrt(5*abs(x)) - sqrt(4*x^2)
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limsqrt(3*x) - sqrt(e^x)
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lim(1/x - 3*1/(x^2)) / (x^3 - sin(x))
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lime^x^2 - 2*e^x^2
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limsqrt(4*tan(x)) - sqrt(3*sqrt(x))
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lim(3*e^x * 1/(x^2)) / ln(x)
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lim(1/x - 4*x) / (x^3 - ln(x))
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lim(1/x^2) - (1/tan(x))
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lim5*ln(x)^2 - 1/x^2
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limsqrt(4*1/x) - sqrt(e^x)
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lim(1/2*x^3) - (1/abs(x))
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lim(tan(x) - 1/x) / (e^x - 1/(x^2))
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limsqrt(3*sin(x)) - sqrt(4*sin(x))
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lim(x^3 * 3*1/(x^2)) / 1/x
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limsqrt(4*x^2) - sqrt(cos(x))
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limsqrt(cos(x)) - sqrt(sqrt(x))
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lim5*sqrt(x) / 2*1/(x^2)
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lim(5*x^3 * tan(x)) / cos(x)
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lim(4*1/(x^2) - 2*x) / (e^x - tan(x))
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lim(1/3*cos(x)) - (1/1/(x^2))
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lim(x * 4*e^x) / x
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lim3*x^2 - 3*e^x^2
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lim(1/3*x^3) - (1/5*e^x)
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lim5*1/x / 3*x
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lim1/x^2 - 3*1/(x^2)^2
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lim2*sin(x) / 3*tan(x)
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limsqrt(1/(x^2)) - sqrt(sqrt(x))
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lim(1/3*cos(x)) - (1/2*tan(x))
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limsqrt(3*x) - sqrt(x)
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lim(1/x^3) - (1/2*cos(x))
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lim2*e^x^2 - ln(x)^2
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limx^2 / 3*ln(x)
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lim(2*tan(x) * 1/(x^2)) / abs(x)
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lim(sqrt(x) * sqrt(x)) / x^2
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lim(ln(x) - e^x) / (abs(x) - sqrt(x))
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lim(1/2*sin(x)) - (1/1/x)
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lim3*x^2 - 1/(x^2)^2
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lim(3*sin(x) - 2*tan(x)) / (1/(x^2) - 1/(x^2))
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lim(1/4*ln(x)) - (1/2*sqrt(x))
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lim(5*cos(x) * 2*ln(x)) / x
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limsqrt(3*1/(x^2)) - sqrt(4*tan(x))
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lim2*sin(x)^2 - 3*1/(x^2)^2
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limsqrt(cos(x)) - sqrt(abs(x))
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limsqrt(tan(x)) - sqrt(2*abs(x))
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lim5*sqrt(x)^2 - x^2
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lim1/x^2 - sqrt(x)^2
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limsqrt(ln(x)) - sqrt(5*x^2)
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lim2*1/(x^2) / 4*1/x
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lim(abs(x) - 2*abs(x)) / (sqrt(x) - cos(x))
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lim2*x^2 - 2*1/(x^2)^2
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lim(3*ln(x) - x^3) / (ln(x) - ln(x))
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lim(4*x * 5*e^x) / 1/(x^2)
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lim(1/sqrt(x)) - (1/3*sin(x))
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lim(2*x - x^3) / (1/(x^2) - 1/x)
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lim(tan(x) - cos(x)) / (ln(x) - ln(x))
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lim(1/tan(x)) - (1/1/x)
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lim(1/3*ln(x)) - (1/4*x)
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lim(4*x * 5*x^2) / sqrt(x)
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lim(e^x - abs(x)) / (e^x - sqrt(x))
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lim(2*1/(x^2) * 1/x) / abs(x)
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limsqrt(4*sqrt(x)) - sqrt(x^3)
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lim(1/2*sqrt(x)) - (1/4*sin(x))
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limsin(x)^2 - 1/x^2
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limsqrt(5*abs(x)) - sqrt(x^3)
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limx^2 - 4*ln(x)^2
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limx^2 / sqrt(x)
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limln(x) / abs(x)
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lim(e^x * tan(x)) / 1/x
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lim(2*cos(x) * 1/x) / sqrt(x)
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lim(1/3*ln(x)) - (1/4*x^2)
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limsqrt(3*1/x) - sqrt(2*tan(x))
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lim(x^3 * cos(x)) / x^2
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limx^2^2 - 5*tan(x)^2
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lim1/(x^2) / 1/x
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limcos(x) / sin(x)
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lim(5*sin(x) * 2*sin(x)) / tan(x)
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lim(1/(x^2) - sin(x)) / (tan(x) - 1/x)
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limsqrt(3*sqrt(x)) - sqrt(5*sqrt(x))
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lim1/(x^2) / e^x
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lim(1/3*x^3) - (1/ln(x))
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lim(1/(x^2) * cos(x)) / sqrt(x)
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limsqrt(x) - sqrt(x^2)
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lim(ln(x) * 4*sqrt(x)) / e^x
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lim(1/4*sqrt(x)) - (1/2*cos(x))
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limsqrt(3*x^3) - sqrt(sin(x))
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limx^3 / tan(x)
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limsqrt(x^2) - sqrt(3*abs(x))
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limsqrt(2*x^3) - sqrt(3*1/(x^2))
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limln(x)^2 - abs(x)^2
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lim(2*sqrt(x) - x) / (sqrt(x) - 1/(x^2))
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lim(1/x^3) - (1/x)
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lim(x * 5*abs(x)) / ln(x)
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lim(x^2 * e^x) / x
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lim5*tan(x) / 1/x
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lim3*e^x / x^2
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lim3*x^2^2 - ln(x)^2
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lim(5*x * 4*x^3) / sin(x)
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lim(2*ln(x) - 4*tan(x)) / (1/x - ln(x))
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limx^2 - abs(x)^2
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lim3*sqrt(x) / 1/(x^2)
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lim(abs(x) * x^2) / tan(x)
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lim(2*1/(x^2) * 3*abs(x)) / sin(x)
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lim(1/sqrt(x)) - (1/3*e^x)
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lim(sqrt(x) * 3*tan(x)) / tan(x)
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lim5*sin(x) / 4*x
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lim5*sin(x) / ln(x)
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lim(4*ln(x) * sin(x)) / sqrt(x)
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lim(1/1/x) - (1/3*e^x)
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lim5*tan(x)^2 - 4*sqrt(x)^2
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lim(sin(x) * x) / abs(x)
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limx^2 - x^3^2
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lim(2*abs(x) - 1/(x^2)) / (abs(x) - abs(x))
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limsqrt(x^2) - sqrt(2*e^x)
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lim(2*x^3 * 2*e^x) / sin(x)
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lim(x - abs(x)) / (x^2 - x^2)
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lim3*1/x^2 - x^3^2
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limabs(x) / 2*tan(x)
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lim(3*ln(x) * 5*ln(x)) / e^x
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lim(1/(x^2) - sqrt(x)) / (1/(x^2) - cos(x))
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lim4*x^3^2 - 5*sin(x)^2
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lim(3*ln(x) * tan(x)) / 1/(x^2)
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lim(1/x * x^3) / e^x
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limcos(x)^2 - cos(x)^2
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lim(1/2*ln(x)) - (1/2*abs(x))
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lim4*ln(x) / 2*sqrt(x)
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limsqrt(2*tan(x)) - sqrt(2*tan(x))
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limabs(x)^2 - 2*x^2
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limsqrt(ln(x)) - sqrt(2*sqrt(x))
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lim(1/ln(x)) - (1/e^x)
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lime^x^2 - 5*e^x^2
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lim3*1/(x^2)^2 - 4*cos(x)^2
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lim5*x^3 / ln(x)
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lim(1/3*x^3) - (1/x^2)
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lim(4*cos(x) * 2*sin(x)) / sin(x)
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lim(3*tan(x) * 4*x^2) / 1/x
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limabs(x)^2 - 2*cos(x)^2
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lim(1/(x^2) * 3*x^3) / sqrt(x)
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lim(x^2 - 5*e^x) / (ln(x) - tan(x))
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lim3*1/x / 4*1/(x^2)
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limabs(x) / 1/x
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lim(1/4*1/(x^2)) - (1/5*x^2)
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lim(cos(x) * x) / 1/x
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lim3*1/(x^2) / x^3
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lim(x * 2*sqrt(x)) / x
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lim4*x^3^2 - 2*x^2
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limx^2^2 - 5*x^2
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limx^2 - sqrt(x)^2
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lim1/x / 1/x
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limsin(x) / 4*cos(x)
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lim3*x / 3*sin(x)
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lim(2*tan(x) * x^3) / cos(x)
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lim2*x^3 / 4*x^3
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lim(5*1/x - cos(x)) / (sqrt(x) - ln(x))
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lim3*cos(x)^2 - 5*e^x^2
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lim2*e^x^2 - 2*x^3^2
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limsqrt(sin(x)) - sqrt(x^3)
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limsqrt(3*ln(x)) - sqrt(2*sin(x))
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lim(3*x^2 * 4*sin(x)) / cos(x)
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lim(x^2 - 4*1/x) / (x^2 - x^2)
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limsqrt(abs(x)) - sqrt(e^x)
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lim(x - 4*1/x) / (x^2 - abs(x))
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lim(ln(x) * 3*tan(x)) / 1/(x^2)
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limsqrt(tan(x)) - sqrt(sqrt(x))
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limsqrt(4*sin(x)) - sqrt(x)
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lim1/x^2 - 5*ln(x)^2
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limsqrt(x) / 2*x^2
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lim3*1/(x^2)^2 - 1/x^2
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lim(1/e^x) - (1/5*cos(x))
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lim1/x / ln(x)
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lim(1/5*1/(x^2)) - (1/2*x^3)
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limsqrt(e^x) - sqrt(sqrt(x))
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limsin(x)^2 - 3*e^x^2
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lim(tan(x) - sin(x)) / (x^2 - sin(x))
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lim2*cos(x) / tan(x)
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lim3*cos(x)^2 - 5*abs(x)^2
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lim(5*sin(x) * 4*sqrt(x)) / x
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lim5*abs(x)^2 - cos(x)^2
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lim(1/3*cos(x)) - (1/2*x)
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lim(3*x^3 - 1/(x^2)) / (e^x - 1/x)
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lim(4*e^x - 4*sin(x)) / (1/x - abs(x))
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limcos(x)^2 - x^3^2
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limx^2 - x^2
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lim(1/(x^2) * abs(x)) / x
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limsqrt(1/x) - sqrt(3*1/x)
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lim4*ln(x)^2 - 3*abs(x)^2
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lim(x^2 * tan(x)) / x^2
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lim2*abs(x)^2 - sin(x)^2
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limabs(x) / 3*abs(x)
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lim(1/5*sin(x)) - (1/e^x)
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limtan(x)^2 - 2*sin(x)^2
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limsin(x)^2 - x^3^2
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limsqrt(5*e^x) - sqrt(ln(x))
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lim(x^2 - 1/x) / (cos(x) - tan(x))
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lim3*x^3^2 - cos(x)^2
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lim4*cos(x)^2 - 1/x^2
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lim(3*1/(x^2) * 5*abs(x)) / 1/x
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limsqrt(x) - sqrt(x^3)
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lim(1/1/x) - (1/cos(x))
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lim(1/ln(x)) - (1/3*cos(x))
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lim(tan(x) * 4*1/x) / cos(x)
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lim(4*sin(x) * cos(x)) / tan(x)
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lim(1/2*sqrt(x)) - (1/x^3)
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lim(sin(x) - 1/(x^2)) / (x - sin(x))
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lim5*1/(x^2)^2 - sqrt(x)^2
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lim(4*x^3 - 2*cos(x)) / (sqrt(x) - 1/(x^2))
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limln(x)^2 - 4*cos(x)^2
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lim2*x^2 - 5*abs(x)^2
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lim1/x^2 - 3*x^3^2
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lim(x^2 * 5*x) / e^x
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limcos(x)^2 - x^2
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lim(2*x^2 - 1/(x^2)) / (cos(x) - x)
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lim2*1/x^2 - 2*1/x^2
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lim3*1/x / ln(x)
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lim3*e^x^2 - cos(x)^2
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lim(5*x^2 * ln(x)) / cos(x)
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limx^3 / 4*ln(x)
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limsqrt(x) - sqrt(5*tan(x))
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limsqrt(4*x^2) - sqrt(2*x)
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lim4*1/(x^2)^2 - x^3^2
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limx^3^2 - 4*sin(x)^2
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limsqrt(abs(x)) - sqrt(3*abs(x))
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lim5*x / 1/x
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lim4*sin(x) / 4*tan(x)
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lim(4*cos(x) - e^x) / (x^2 - x)
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lim(sin(x) * 5*x^2) / sqrt(x)
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limsqrt(x) / 5*abs(x)
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lim1/(x^2) / 5*sin(x)
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lim(1/2*tan(x)) - (1/2*x)
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limtan(x) / tan(x)
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lim(tan(x) - 1/x) / (x^3 - ln(x))
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lim(5*sin(x) - x^2) / (e^x - abs(x))
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lim(cos(x) - tan(x)) / (abs(x) - e^x)
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lim4*cos(x) / x
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limx^2^2 - sin(x)^2
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lim(sin(x) - sin(x)) / (1/(x^2) - 1/(x^2))
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lim5*ln(x) / cos(x)
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lim(1/ln(x)) - (1/sin(x))
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limtan(x) / sin(x)
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lim(1/(x^2) * tan(x)) / x^2
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limcos(x)^2 - cos(x)^2
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lim(x^3 * sqrt(x)) / x^3
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lim(1/x - 4*abs(x)) / (sqrt(x) - cos(x))
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lim3*sin(x)^2 - 3*abs(x)^2
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limcos(x)^2 - 2*sqrt(x)^2
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lim(1/4*x) - (1/4*x^3)
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limsqrt(x) / 2*e^x
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limsqrt(abs(x)) - sqrt(tan(x))
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lim(2*ln(x) * 3*ln(x)) / x^2
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limsqrt(cos(x)) - sqrt(4*1/x)
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limcos(x)^2 - 4*x^2^2
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lim(2*x - 3*e^x) / (abs(x) - x^3)
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limx^3 / 2*1/(x^2)
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limsqrt(x) / 2*sin(x)
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limsqrt(2*abs(x)) - sqrt(4*e^x)
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lim5*cos(x)^2 - cos(x)^2
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lim(1/(x^2) - cos(x)) / (e^x - tan(x))
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lim(4*x - 1/(x^2)) / (x^3 - e^x)
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lim(e^x - 3*x^2) / (x^2 - tan(x))
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lim(1/sqrt(x)) - (1/sin(x))
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limsqrt(x^2) - sqrt(abs(x))
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lime^x / tan(x)
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lim(1/sin(x)) - (1/e^x)
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lim(x^3 * 3*sqrt(x)) / sqrt(x)
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limsqrt(3*sqrt(x)) - sqrt(x^2)
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lim(sin(x) * 4*sqrt(x)) / abs(x)
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lim(e^x * 2*x^3) / tan(x)
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lim3*sin(x)^2 - sqrt(x)^2
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lim2*1/x^2 - abs(x)^2
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lim5*e^x^2 - x^3^2
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limsqrt(5*x) - sqrt(abs(x))
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lim(1/1/x) - (1/x^2)
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limsqrt(x)^2 - 4*abs(x)^2
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lim(cos(x) * 2*1/x) / sin(x)
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limsqrt(x) / x^3
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lim2*1/x / 2*x^3
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lim4*1/x^2 - e^x^2
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lim(sin(x) * cos(x)) / cos(x)
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lim(3*e^x * 2*sin(x)) / ln(x)
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limsqrt(1/(x^2)) - sqrt(5*cos(x))
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limcos(x)^2 - 3*abs(x)^2
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lim4*e^x / sqrt(x)
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lim(sin(x) - 5*x^3) / (ln(x) - tan(x))
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lim(5*abs(x) * sqrt(x)) / x
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lim3*x^3^2 - 2*sin(x)^2
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lim(3*abs(x) * 4*sin(x)) / sin(x)
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lim2*x^2 / abs(x)
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lime^x / 1/x
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lim3*sin(x) / x^2
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lim1/x / 4*cos(x)
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lim(4*abs(x) * x^3) / e^x
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lim3*tan(x) / abs(x)
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lim(4*x * 5*x^3) / sqrt(x)
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lim(sqrt(x) - 5*tan(x)) / (sqrt(x) - cos(x))
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lim(1/5*sqrt(x)) - (1/5*ln(x))
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limsqrt(2*x^3) - sqrt(3*tan(x))
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lim1/x^2 - ln(x)^2
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lim(1/abs(x)) - (1/2*ln(x))
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limabs(x) / 1/x
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lim(abs(x) - abs(x)) / (e^x - abs(x))
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lim(5*abs(x) - 4*abs(x)) / (1/(x^2) - tan(x))
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limsqrt(2*x^3) - sqrt(5*abs(x))
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lim(ln(x) * 4*ln(x)) / 1/x
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lim(1/2*x) - (1/4*x^3)
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limsqrt(sin(x)) - sqrt(2*x^2)
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lim(1/3*x) - (1/x^2)
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limtan(x) / x^3
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lim1/x / ln(x)
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lim(4*x * tan(x)) / tan(x)
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lim(5*abs(x) * sin(x)) / sqrt(x)
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limsqrt(x)^2 - 4*1/x^2
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lim(1/1/x) - (1/1/(x^2))
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lim(4*x - tan(x)) / (tan(x) - abs(x))
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lim(2*sin(x) - 4*1/(x^2)) / (cos(x) - sin(x))
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limsqrt(3*x^2) - sqrt(x^3)
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lim2*x^3 / 4*abs(x)
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lim(5*cos(x) * 3*e^x) / 1/(x^2)
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lim(abs(x) * 1/(x^2)) / 1/x
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limsqrt(x) - sqrt(x)
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lim(1/abs(x)) - (1/2*sin(x))
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lim(e^x - tan(x)) / (1/(x^2) - sqrt(x))
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lim(3*x^2 * ln(x)) / x^3
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lim(1/3*x^3) - (1/4*1/(x^2))
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limsqrt(2*sin(x)) - sqrt(1/(x^2))
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lim(1/5*tan(x)) - (1/2*cos(x))
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lim(x^3 - ln(x)) / (sqrt(x) - ln(x))
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lim(1/sqrt(x)) - (1/sin(x))
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lim(x^2 - 3*cos(x)) / (x - 1/x)
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limsqrt(5*sin(x)) - sqrt(x)
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lim(1/sin(x)) - (1/2*x)
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lime^x^2 - tan(x)^2
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limsqrt(4*abs(x)) - sqrt(5*x)
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limx / sin(x)
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lim5*x / 2*1/x
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lim(sin(x) - 4*1/(x^2)) / (abs(x) - abs(x))
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lim(3*x^3 * abs(x)) / 1/(x^2)
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limx / x^3
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lim(1/x - sqrt(x)) / (e^x - x)
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limsqrt(3*e^x) - sqrt(4*sin(x))
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lim(3*e^x * 1/x) / sqrt(x)
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lim(2*x * 3*1/(x^2)) / tan(x)
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lim2*cos(x) / 5*1/x
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lim(1/sin(x)) - (1/4*1/x)
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lim5*abs(x)^2 - 4*x^3^2
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lim(x^3 - cos(x)) / (x^2 - abs(x))
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lim(1/2*x^2) - (1/abs(x))
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lim(1/ln(x)) - (1/2*x^2)
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lim5*1/x^2 - x^3^2
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lim(sin(x) * 3*abs(x)) / x
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limln(x) / cos(x)
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lim(1/cos(x)) - (1/3*e^x)
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lim(3*e^x * x^3) / x^3
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limsqrt(e^x) - sqrt(cos(x))
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limx^2^2 - 5*abs(x)^2
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limx^2 - e^x^2
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lim2*ln(x) / 1/(x^2)
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lim3*x^3 / abs(x)
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lim(1/(x^2) * x^2) / cos(x)
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lim(5*x^2 - 4*ln(x)) / (tan(x) - x^3)
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limln(x)^2 - 2*sqrt(x)^2
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lim(1/x^3) - (1/3*e^x)
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limsqrt(abs(x)) - sqrt(abs(x))
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limabs(x) / cos(x)
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lim5*e^x^2 - sqrt(x)^2
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lim(3*x^3 * sin(x)) / x^3
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limln(x)^2 - ln(x)^2
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lim3*x / abs(x)
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lim4*sqrt(x)^2 - sqrt(x)^2
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lim(e^x * cos(x)) / tan(x)
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limsqrt(4*ln(x)) - sqrt(tan(x))
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lim3*1/x^2 - 2*tan(x)^2
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limcos(x)^2 - e^x^2
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lim(5*sin(x) * abs(x)) / tan(x)
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lim4*abs(x) / abs(x)
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lim(abs(x) - 2*cos(x)) / (x - e^x)
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limcos(x) / 4*cos(x)
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limsqrt(5*1/(x^2)) - sqrt(ln(x))
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limsqrt(3*x) - sqrt(5*sin(x))
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limsqrt(3*1/(x^2)) - sqrt(e^x)
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lim2*tan(x)^2 - 5*x^2^2
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limcos(x) / 2*1/x
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lim(1/x * 5*sin(x)) / e^x
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lim(1/x^2) - (1/1/(x^2))
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lim(2*tan(x) - 5*abs(x)) / (sin(x) - abs(x))
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limsqrt(4*1/x) - sqrt(1/x)
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lim4*sin(x) / x^3
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lim5*ln(x)^2 - sin(x)^2
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limx^2^2 - 3*e^x^2
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lim(1/5*sin(x)) - (1/5*x^3)
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limsqrt(5*1/(x^2)) - sqrt(e^x)
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limsqrt(3*x^3) - sqrt(sqrt(x))
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limsqrt(cos(x)) - sqrt(4*e^x)
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lim(1/3*x^2) - (1/sqrt(x))
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lim2*cos(x)^2 - tan(x)^2
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lim(1/x^2) - (1/tan(x))
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limsqrt(x) / 4*x^3
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lim2*abs(x)^2 - 3*1/(x^2)^2
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lim3*sin(x) / 2*tan(x)
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lim2*abs(x) / cos(x)
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lim4*sin(x)^2 - x^3^2
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lim(2*sqrt(x) * 4*x^2) / x^3
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limsqrt(cos(x)) - sqrt(3*e^x)
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lim(1/4*abs(x)) - (1/4*sqrt(x))
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lim(sin(x) - tan(x)) / (abs(x) - 1/(x^2))
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lim(2*abs(x) * cos(x)) / 1/(x^2)
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lim2*ln(x) / cos(x)
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limsqrt(1/(x^2)) - sqrt(sin(x))
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lim(1/2*x^2) - (1/5*sqrt(x))
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limtan(x) / 2*cos(x)
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lim(x^2 - 4*x) / (sin(x) - x^3)
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lim(tan(x) * sin(x)) / x
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lim5*abs(x)^2 - x^2
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lim2*x^3 / x^3
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lim(1/x) - (1/4*x^3)
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lim4*x^2^2 - e^x^2
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lim(4*x^2 * sin(x)) / tan(x)
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limx^2^2 - 4*x^2^2
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lim1/(x^2)^2 - tan(x)^2
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lim(4*x^3 - e^x) / (x^2 - sin(x))
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limsqrt(sin(x)) - sqrt(3*cos(x))
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lim(x^2 * sqrt(x)) / tan(x)
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lim(ln(x) * ln(x)) / x^3
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lim(1/5*abs(x)) - (1/2*1/(x^2))
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lim(2*cos(x) * sqrt(x)) / 1/(x^2)
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lim3*e^x^2 - 1/(x^2)^2
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lim1/(x^2)^2 - x^3^2
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lim(ln(x) - 3*ln(x)) / (x - sin(x))
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lim(3*sqrt(x) * 5*ln(x)) / 1/(x^2)
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limcos(x)^2 - 3*ln(x)^2
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lim(1/(x^2) * 5*abs(x)) / x^2
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lim(2*cos(x) * sqrt(x)) / tan(x)
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limln(x) / 3*sqrt(x)
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lim(4*1/x - 3*sqrt(x)) / (sin(x) - tan(x))
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lim(1/sqrt(x)) - (1/e^x)
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limsqrt(x) - sqrt(4*x^2)
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lim1/x^2 - 2*cos(x)^2
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lim4*x^2^2 - 4*sqrt(x)^2
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lim3*x^2 - cos(x)^2
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lim(x^2 * 2*x^2) / cos(x)
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lim(4*abs(x) * tan(x)) / sin(x)
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lim(4*tan(x) - ln(x)) / (sin(x) - ln(x))
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lim(1/abs(x)) - (1/4*cos(x))
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lime^x^2 - 2*cos(x)^2
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lim5*ln(x)^2 - x^3^2
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limsqrt(sqrt(x)) - sqrt(5*sqrt(x))
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limsqrt(tan(x)) - sqrt(4*1/x)
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limsqrt(3*x^3) - sqrt(1/(x^2))
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limtan(x) / abs(x)
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limcos(x) / sqrt(x)
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limsqrt(5*1/(x^2)) - sqrt(5*ln(x))
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lim(1/4*1/x) - (1/sin(x))
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lim5*1/x / x^3
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lim(cos(x) * 5*x^3) / x^2
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limsqrt(2*cos(x)) - sqrt(5*cos(x))
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lim(4*abs(x) - 2*x^3) / (sin(x) - 1/(x^2))
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lim(1/5*cos(x)) - (1/5*ln(x))
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limsqrt(sin(x)) - sqrt(2*tan(x))
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lim(e^x - 1/(x^2)) / (tan(x) - x^3)
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limsin(x) / 4*1/x
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lim(1/ln(x)) - (1/2*x^2)
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lim5*ln(x) / 2*x^3
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limcos(x) / e^x
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limsqrt(x)^2 - 4*tan(x)^2
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limsqrt(5*x^3) - sqrt(5*cos(x))
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lim(1/tan(x)) - (1/1/x)
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lim(e^x - 3*x^2) / (1/(x^2) - x^2)
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lim(1/e^x) - (1/sqrt(x))
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lim(1/5*1/(x^2)) - (1/4*x^2)
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lim5*1/x / 3*1/(x^2)
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lim(1/5*ln(x)) - (1/5*x^2)
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lim3*1/x / 1/(x^2)
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lim2*abs(x)^2 - 1/(x^2)^2
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limsqrt(2*1/(x^2)) - sqrt(4*abs(x))
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lim(tan(x) - 2*sin(x)) / (abs(x) - sin(x))
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lim2*x^2^2 - 5*abs(x)^2
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lim(abs(x) - x^2) / (sqrt(x) - 1/(x^2))
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limsqrt(1/(x^2)) - sqrt(e^x)
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lim(1/3*x^3) - (1/2*abs(x))
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lim(1/3*ln(x)) - (1/e^x)
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lim(2*x - tan(x)) / (abs(x) - tan(x))
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limsqrt(3*tan(x)) - sqrt(2*abs(x))
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lim2*1/(x^2) / x^3
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lim(1/cos(x)) - (1/x^2)
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lim(5*sqrt(x) * 5*ln(x)) / tan(x)
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lim(4*sin(x) - 5*sqrt(x)) / (tan(x) - abs(x))
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lim3*ln(x)^2 - x^2^2
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lim(x * sin(x)) / ln(x)
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lim(5*sin(x) * 2*x^3) / 1/x
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lim(3*ln(x) - ln(x)) / (1/(x^2) - 1/x)
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lim(x - sin(x)) / (sqrt(x) - 1/x)
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lim(1/abs(x)) - (1/x)
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lim(4*sin(x) - ln(x)) / (tan(x) - cos(x))
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limsqrt(3*cos(x)) - sqrt(abs(x))
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lim3*sin(x)^2 - 3*sin(x)^2
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lim(3*1/x * 1/x) / cos(x)
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limsqrt(x^3) - sqrt(1/(x^2))
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limcos(x) / 4*1/(x^2)
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lim4*sqrt(x)^2 - 3*1/x^2
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lim(1/(x^2) - x) / (sin(x) - ln(x))
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limsqrt(ln(x)) - sqrt(5*x^2)
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lim(5*tan(x) * 3*sqrt(x)) / 1/(x^2)
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limsqrt(1/(x^2)) - sqrt(2*tan(x))
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lim(2*sqrt(x) * cos(x)) / cos(x)
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lim4*x^2 / 1/(x^2)
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lim(1/abs(x)) - (1/4*sqrt(x))
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lim5*cos(x) / 3*x
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limtan(x) / tan(x)
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lim(sqrt(x) - 3*x^2) / (x^3 - abs(x))
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lim(sqrt(x) * abs(x)) / ln(x)
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lim3*1/x^2 - 5*x^3^2
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lime^x^2 - 5*1/(x^2)^2
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lim4*x^3^2 - cos(x)^2
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limsqrt(x)^2 - 4*x^3^2
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limsqrt(3*x) - sqrt(cos(x))
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lim(x - 3*sqrt(x)) / (ln(x) - 1/(x^2))
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limx^2 / 3*sqrt(x)
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lim(1/4*abs(x)) - (1/5*ln(x))
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lim4*abs(x)^2 - sqrt(x)^2
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lim(4*sin(x) * x^2) / tan(x)
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limsqrt(x^2) - sqrt(2*x)
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limsqrt(sqrt(x)) - sqrt(abs(x))
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lim(ln(x) * tan(x)) / 1/x
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lim(1/x) - (1/1/x)
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lim(x^3 - e^x) / (abs(x) - 1/(x^2))
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lim(1/1/x) - (1/2*x^3)
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lime^x^2 - 4*abs(x)^2
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lim5*x^2 / sqrt(x)
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limsqrt(3*sin(x)) - sqrt(3*e^x)
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limsqrt(sin(x)) - sqrt(4*x^2)
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lim(sqrt(x) - 5*x) / (x^2 - sqrt(x))
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limsqrt(4*1/(x^2)) - sqrt(3*x)
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lime^x / ln(x)
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lime^x / 3*tan(x)
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lim(5*x^2 * tan(x)) / cos(x)
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lim(1/3*ln(x)) - (1/4*1/(x^2))
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lim(1/(x^2) - x^3) / (x^2 - x^3)
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lim3*x^2^2 - x^3^2
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limsqrt(x^2) - sqrt(x^2)
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lim(3*sqrt(x) - 4*tan(x)) / (cos(x) - 1/x)
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lim2*tan(x)^2 - 3*ln(x)^2
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limx^3^2 - ln(x)^2
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lim5*1/x / 4*tan(x)
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lim(1/x * 1/(x^2)) / abs(x)
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lim(sin(x) - 3*x^2) / (1/x - sqrt(x))
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lim(1/2*sqrt(x)) - (1/x^2)
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lim3*abs(x)^2 - tan(x)^2
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lim3*x^3^2 - 2*sqrt(x)^2
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lim(sin(x) - 2*x^2) / (tan(x) - cos(x))
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limsqrt(sin(x)) - sqrt(tan(x))
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lim(2*abs(x) - x^3) / (1/x - e^x)
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lim(3*e^x * 2*cos(x)) / sin(x)
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lim(sqrt(x) - 4*e^x) / (x^3 - sqrt(x))
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limsqrt(x^2) - sqrt(2*e^x)
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lim(tan(x) * 2*sin(x)) / sqrt(x)
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limsqrt(4*abs(x)) - sqrt(2*cos(x))
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lim(1/x^2) - (1/4*abs(x))
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limsqrt(3*sqrt(x)) - sqrt(ln(x))
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limsqrt(3*sqrt(x)) - sqrt(cos(x))
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lim(1/tan(x)) - (1/5*x^3)
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limtan(x) / 4*sin(x)
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limsqrt(3*1/x) - sqrt(sin(x))
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lim2*abs(x) / 5*cos(x)
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lim(1/x) - (1/tan(x))
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lim(1/cos(x)) - (1/cos(x))
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lim2*x^3 / x^3
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lim(e^x * 1/(x^2)) / 1/(x^2)
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limsqrt(3*1/(x^2)) - sqrt(2*tan(x))
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lim(1/2*x^2) - (1/x^3)
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lim3*1/x^2 - x^2^2
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lim(1/3*x^3) - (1/2*x^2)
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lim(1/e^x) - (1/4*1/(x^2))
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lim(1/(x^2) * abs(x)) / sqrt(x)
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lim(ln(x) * 5*e^x) / sin(x)
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lim5*sin(x)^2 - cos(x)^2
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lim(2*x * 4*ln(x)) / 1/(x^2)
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lim5*sqrt(x)^2 - 2*ln(x)^2
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limsqrt(3*x) - sqrt(ln(x))
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lim1/(x^2)^2 - tan(x)^2
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lim(1/sqrt(x)) - (1/4*tan(x))
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lim(4*e^x * sin(x)) / sin(x)
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lim(4*e^x * 3*e^x) / tan(x)
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lim(abs(x) * 5*x^3) / x^2
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limsqrt(ln(x)) - sqrt(ln(x))
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lim(1/x - abs(x)) / (sqrt(x) - abs(x))
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lim(3*tan(x) - 5*e^x) / (ln(x) - sqrt(x))
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limln(x) / 3*cos(x)
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lim5*sqrt(x)^2 - 2*1/x^2
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lim(4*tan(x) - e^x) / (x^2 - sqrt(x))
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limsqrt(5*cos(x)) - sqrt(2*ln(x))
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limx^2 - 1/x^2
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lim5*1/x^2 - x^2^2
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lim1/x / 4*cos(x)
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limsqrt(5*x^3) - sqrt(5*x^3)
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limsin(x)^2 - 1/(x^2)^2
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lim(x * x^2) / ln(x)
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lim(3*x - 5*1/(x^2)) / (sqrt(x) - e^x)
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lim(1/x^2) - (1/2*1/(x^2))
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lim1/x^2 - 4*cos(x)^2
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lim(x^2 * 3*ln(x)) / x
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limsqrt(3*x) - sqrt(1/(x^2))
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limsqrt(2*x^3) - sqrt(x^3)
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limln(x) / 3*abs(x)
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limsqrt(4*x) - sqrt(3*ln(x))
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lim(x^3 - 5*1/(x^2)) / (e^x - x)
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limsqrt(5*1/(x^2)) - sqrt(4*1/x)
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limsqrt(3*ln(x)) - sqrt(3*x)
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lim(1/3*sqrt(x)) - (1/3*x^3)
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lim(1/2*sqrt(x)) - (1/ln(x))
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lim5*x^2 / 5*ln(x)
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lim(5*1/x - 3*ln(x)) / (1/(x^2) - x)
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lim(1/x) - (1/4*sqrt(x))
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lim(2*e^x - abs(x)) / (tan(x) - cos(x))
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lim(4*abs(x) * 4*sin(x)) / 1/x
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lim(sin(x) - tan(x)) / (1/(x^2) - e^x)
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lim(1/x^2) - (1/5*tan(x))
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lim(2*x - 4*abs(x)) / (x^2 - e^x)
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lim2*1/(x^2)^2 - x^2
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limsqrt(3*sin(x)) - sqrt(3*x^2)
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lim5*sqrt(x)^2 - e^x^2
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limsqrt(ln(x)) - sqrt(4*x^3)
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lim(3*ln(x) * abs(x)) / x
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lim2*abs(x) / 2*cos(x)
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lim(1/1/x) - (1/4*x^2)
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lim(2*tan(x) * sqrt(x)) / ln(x)
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limsqrt(sin(x)) - sqrt(sin(x))
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lim(5*x^3 * 2*sqrt(x)) / x^3
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lim2*1/x / 4*1/(x^2)
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lim2*tan(x)^2 - abs(x)^2
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lim3*x^2 - cos(x)^2
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limsqrt(4*sqrt(x)) - sqrt(5*1/(x^2))
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lim(5*sqrt(x) * 1/x) / 1/x
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lim2*1/(x^2) / 4*x^2
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limsin(x)^2 - 4*x^2
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lim(1/3*e^x) - (1/5*sin(x))
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limsqrt(x^3) - sqrt(tan(x))
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lim4*e^x / 2*abs(x)
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limx^2 - 1/x^2
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lim2*tan(x) / 3*sin(x)
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lim(1/2*x^2) - (1/tan(x))
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lim(1/cos(x)) - (1/tan(x))
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lim3*abs(x)^2 - 4*1/(x^2)^2
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lim(x^2 - x^2) / (ln(x) - abs(x))
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lime^x / 3*abs(x)
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limsqrt(3*x^3) - sqrt(5*x^2)
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lim2*x^2^2 - 3*x^2^2
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lim(4*x^3 - x) / (x^2 - 1/x)
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limsin(x)^2 - 1/(x^2)^2
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lim3*ln(x) / 3*sqrt(x)
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limsqrt(cos(x)) - sqrt(1/(x^2))
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lim(e^x - x) / (x^2 - ln(x))
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lim(5*1/(x^2) - x^3) / (1/x - sqrt(x))
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lim(sqrt(x) - abs(x)) / (1/(x^2) - x)
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lim(sqrt(x) - 1/(x^2)) / (sqrt(x) - ln(x))
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lim(tan(x) * 5*x^2) / ln(x)
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limln(x)^2 - 4*x^3^2
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limsqrt(x) / 1/x
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lim(4*x^3 - x^2) / (1/(x^2) - e^x)
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lim5*x^3 / sqrt(x)
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lim(1/sqrt(x)) - (1/4*e^x)
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lim5*e^x / 3*1/(x^2)
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lim(ln(x) * 3*ln(x)) / abs(x)
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limsqrt(2*x^2) - sqrt(x)
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lim(2*1/(x^2) - 1/(x^2)) / (tan(x) - 1/(x^2))
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lim(1/x) - (1/1/(x^2))
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limsqrt(5*tan(x)) - sqrt(4*cos(x))
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limcos(x) / 4*sin(x)
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lim2*x^2 - 5*1/x^2
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lim(cos(x) - 4*sin(x)) / (1/x - abs(x))
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lim(1/abs(x)) - (1/2*1/x)
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lim5*e^x^2 - 1/(x^2)^2
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lim(tan(x) * 4*cos(x)) / e^x
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limsqrt(x)^2 - x^3^2
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lim(x - x^3) / (cos(x) - tan(x))
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lim(4*sqrt(x) * x^2) / 1/x
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limsqrt(3*1/x) - sqrt(4*1/x)
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lim(5*sqrt(x) * cos(x)) / 1/(x^2)
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lim1/(x^2)^2 - 2*e^x^2
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lim3*ln(x) / tan(x)
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limsqrt(x)^2 - 4*sin(x)^2
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lime^x / 5*e^x
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lim4*tan(x)^2 - cos(x)^2
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limabs(x)^2 - 3*tan(x)^2
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limsqrt(5*x^3) - sqrt(ln(x))
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lim1/(x^2) / 2*tan(x)
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lim(sqrt(x) - 4*e^x) / (sin(x) - 1/x)
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lim4*cos(x)^2 - 2*x^2^2
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limsqrt(2*tan(x)) - sqrt(1/(x^2))
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limsqrt(x) - sqrt(x^3)
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lim3*ln(x)^2 - x^3^2
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lim(4*abs(x) * x) / tan(x)
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lim(4*1/(x^2) - 2*x^2) / (x - e^x)
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lim(1/ln(x)) - (1/abs(x))
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lim(ln(x) - 5*sin(x)) / (sqrt(x) - x)
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limsqrt(2*1/(x^2)) - sqrt(tan(x))
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limtan(x)^2 - x^3^2
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lim(2*sqrt(x) * 4*e^x) / sqrt(x)
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lim(1/sin(x)) - (1/tan(x))
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lim(cos(x) - x^3) / (sqrt(x) - tan(x))
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lim2*sqrt(x) / sin(x)
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lim(3*sqrt(x) * sin(x)) / e^x
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lim3*abs(x)^2 - 3*tan(x)^2
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lim(1/x^3) - (1/3*tan(x))
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limln(x)^2 - 2*1/x^2
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lim(1/abs(x)) - (1/2*tan(x))
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lim1/x / 3*tan(x)
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limcos(x)^2 - 1/(x^2)^2
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lim4*1/(x^2)^2 - 3*1/(x^2)^2
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lim(1/3*x) - (1/tan(x))
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limsin(x) / x^2
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lim(x^3 * 2*ln(x)) / ln(x)
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limln(x)^2 - 1/x^2
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limtan(x) / 4*1/x
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limln(x)^2 - 5*x^2^2
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lim(1/x * 2*1/(x^2)) / ln(x)
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lim(3*cos(x) * 5*e^x) / ln(x)
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lim(sqrt(x) * 2*ln(x)) / x^3
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lim(1/2*ln(x)) - (1/sqrt(x))
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limsin(x) / 1/x
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lim3*e^x / sqrt(x)
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lim(x^2 - sqrt(x)) / (x^3 - x^3)
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lim(2*e^x - 2*x^2) / (sin(x) - ln(x))
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lim(2*sqrt(x) * 1/x) / abs(x)
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limsqrt(x)^2 - 5*e^x^2
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lime^x^2 - 5*x^2^2
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limtan(x)^2 - e^x^2
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lim(1/3*tan(x)) - (1/e^x)
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lim(5*ln(x) * 5*sin(x)) / sqrt(x)
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lim(5*abs(x) - 5*sin(x)) / (x^3 - tan(x))
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limtan(x)^2 - 5*sin(x)^2
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limsqrt(e^x) - sqrt(tan(x))
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limsqrt(4*x^2) - sqrt(3*1/(x^2))
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lim4*x^2 / tan(x)
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limsqrt(2*1/x) - sqrt(x^3)
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limsqrt(4*x^3) - sqrt(2*abs(x))
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lim(tan(x) * 5*x^3) / sqrt(x)
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lim4*1/(x^2) / x
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lime^x / 3*x^3
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lim(1/5*cos(x)) - (1/sqrt(x))
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lim3*tan(x) / x
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limsqrt(tan(x)) - sqrt(sqrt(x))
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lim5*abs(x) / abs(x)
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lim(3*1/(x^2) - 4*ln(x)) / (sqrt(x) - e^x)
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limcos(x) / tan(x)
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lim(1/x - sin(x)) / (e^x - 1/x)
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limsqrt(sqrt(x)) - sqrt(5*x^3)
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lim(1/4*x) - (1/3*1/(x^2))
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limx^2 - 5*x^2
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lim2*e^x / 1/(x^2)
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lim4*sqrt(x) / sin(x)
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limx / 4*x
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limsqrt(2*tan(x)) - sqrt(e^x)
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limtan(x) / x
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lim(2*1/x * 5*ln(x)) / sqrt(x)
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lim(ln(x) * tan(x)) / cos(x)
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limx / 3*x^3
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lim(3*sin(x) - 2*ln(x)) / (sin(x) - e^x)
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lim(1/tan(x)) - (1/x)
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lim(1/abs(x)) - (1/e^x)
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lim(2*x^3 - 3*x^2) / (x^3 - x^3)
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lim(1/tan(x)) - (1/x^3)
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lim(1/2*x^3) - (1/5*1/x)
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lim(abs(x) - 4*x^3) / (ln(x) - 1/(x^2))
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limsqrt(3*x) - sqrt(1/x)
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lim(e^x - tan(x)) / (tan(x) - sin(x))
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lim(1/2*x) - (1/e^x)
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lim3*cos(x)^2 - cos(x)^2
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lim4*1/(x^2)^2 - tan(x)^2
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lim(1/sin(x)) - (1/5*sqrt(x))
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lim3*1/x / 3*x^2
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limsqrt(5*cos(x)) - sqrt(x^3)
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lim(1/2*x) - (1/x)
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lim4*x^2 / 5*cos(x)
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limx / 3*x^2
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limsqrt(x^2) - sqrt(tan(x))
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lim(1/sin(x)) - (1/4*1/(x^2))
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limsqrt(sqrt(x)) - sqrt(2*1/(x^2))
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lim(3*1/(x^2) * x) / e^x
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lim(abs(x) - abs(x)) / (e^x - 1/x)
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lim(sin(x) * 5*x) / x
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limx^2 - 2*ln(x)^2
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lim(x^3 * 4*e^x) / x
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lim3*e^x^2 - sqrt(x)^2
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lim(4*sqrt(x) * 4*e^x) / 1/x
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limcos(x) / x^2
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lim(1/e^x) - (1/5*1/(x^2))
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lim(tan(x) - x^2) / (sin(x) - abs(x))
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limsqrt(2*e^x) - sqrt(2*1/x)
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lim(1/2*ln(x)) - (1/sin(x))
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limsqrt(sin(x)) - sqrt(3*cos(x))
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lim(5*1/(x^2) - 5*sin(x)) / (tan(x) - tan(x))
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lim(tan(x) * 3*cos(x)) / sqrt(x)
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lim(x - 3*tan(x)) / (x^3 - sin(x))
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lim5*ln(x)^2 - 4*1/x^2
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lim(1/x^2) - (1/2*cos(x))
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lim(1/x) - (1/e^x)
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lim(sin(x) - abs(x)) / (tan(x) - cos(x))
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lim(x^2 * 2*abs(x)) / sqrt(x)
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lim(x^2 * abs(x)) / 1/(x^2)
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lim(sin(x) * ln(x)) / x^2
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lim(2*1/(x^2) * ln(x)) / x^2
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lim4*sqrt(x)^2 - 3*abs(x)^2
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lim1/(x^2) / 5*x
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lim(2*abs(x) * 2*sqrt(x)) / sqrt(x)
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limsin(x) / 3*1/(x^2)
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limsqrt(4*x) - sqrt(cos(x))
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limsqrt(ln(x)) - sqrt(3*sin(x))
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limsqrt(4*1/(x^2)) - sqrt(2*1/x)
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lim(4*tan(x) * 1/x) / sin(x)
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lim2*x / 3*sin(x)
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lim(sin(x) - 2*x) / (ln(x) - ln(x))
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lim(tan(x) - 1/(x^2)) / (ln(x) - sqrt(x))
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lim(3*tan(x) - 3*x^3) / (x^2 - cos(x))
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limsin(x) / 1/x
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lim(x^3 - x) / (sin(x) - e^x)
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limsin(x) / 3*cos(x)
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lim(3*ln(x) - 5*1/x) / (tan(x) - 1/x)
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lim(3*tan(x) - sin(x)) / (1/x - e^x)
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lime^x^2 - 2*abs(x)^2
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lim(tan(x) * sqrt(x)) / sin(x)
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lim(x^2 - 2*1/x) / (sqrt(x) - tan(x))
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limsqrt(2*1/(x^2)) - sqrt(5*x^3)
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lim(1/x - 4*ln(x)) / (1/(x^2) - e^x)
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limx^3^2 - 2*tan(x)^2
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lim(1/5*ln(x)) - (1/2*sin(x))
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lim(1/2*1/(x^2)) - (1/e^x)
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limsqrt(x) / 3*cos(x)
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lim(2*x^3 - cos(x)) / (sin(x) - abs(x))
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lim(4*x - 3*1/x) / (cos(x) - ln(x))
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lim(1/4*1/(x^2)) - (1/abs(x))
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limsqrt(2*x^2) - sqrt(2*sin(x))
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lim4*tan(x)^2 - sqrt(x)^2
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lime^x / 2*e^x
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lim(3*tan(x) - 2*abs(x)) / (1/x - x^3)
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lim1/(x^2)^2 - x^2^2
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lim(x^2 * 2*sin(x)) / sqrt(x)
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lim4*x^3 / 5*x
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lim(1/5*ln(x)) - (1/sqrt(x))
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limsqrt(2*abs(x)) - sqrt(4*cos(x))
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lim(1/5*x^3) - (1/3*cos(x))
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lim3*x^2 - tan(x)^2
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lim(sqrt(x) * 1/x) / ln(x)
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lim(x^3 * x^2) / 1/x
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limx / ln(x)
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limsqrt(5*sqrt(x)) - sqrt(1/(x^2))
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lim(3*ln(x) - 2*1/x) / (cos(x) - cos(x))
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lim2*1/(x^2) / sqrt(x)
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lim(1/x^2) - (1/x^2)
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lim(1/(x^2) * 2*sin(x)) / cos(x)
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lim(sin(x) * 2*cos(x)) / sqrt(x)
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lim(abs(x) * 3*tan(x)) / 1/(x^2)
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lim(1/abs(x)) - (1/cos(x))
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lim(1/(x^2) - sqrt(x)) / (x - e^x)
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lim(sin(x) - sin(x)) / (sin(x) - x^3)
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lim(1/x) - (1/x^3)
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limsqrt(x^2) - sqrt(2*cos(x))
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lim(sin(x) - x^2) / (cos(x) - x^2)
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limabs(x) / x^3
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lim1/(x^2) / cos(x)
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lim(3*tan(x) - x) / (cos(x) - 1/x)
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lim5*x^2 / tan(x)
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lim(sqrt(x) * 2*sqrt(x)) / ln(x)
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limsqrt(5*e^x) - sqrt(4*x^2)
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limsqrt(3*sin(x)) - sqrt(abs(x))
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lim(3*cos(x) * 4*x) / tan(x)
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lim(5*cos(x) - 5*1/x) / (tan(x) - x^2)
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lim(tan(x) - 5*x^3) / (e^x - ln(x))
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limsqrt(abs(x)) - sqrt(3*x)
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limcos(x)^2 - 5*tan(x)^2
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lim(1/3*cos(x)) - (1/3*x^2)
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lim(1/2*tan(x)) - (1/4*1/(x^2))
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limtan(x) / 3*x^2
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limx^3 / 1/(x^2)
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limtan(x) / 1/x
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lim(1/3*x^2) - (1/3*x)
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lim(5*sin(x) - sqrt(x)) / (1/(x^2) - x)
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lim(sqrt(x) - x) / (x^3 - 1/(x^2))
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lim(3*sqrt(x) - sqrt(x)) / (x^2 - cos(x))
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limx^2 - 2*tan(x)^2
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lim(5*x * 4*x) / ln(x)
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lim5*1/x^2 - 5*sin(x)^2
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lim(1/2*1/x) - (1/cos(x))
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limsqrt(3*x^3) - sqrt(5*ln(x))
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limsqrt(sqrt(x)) - sqrt(1/(x^2))
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limsqrt(abs(x)) - sqrt(5*tan(x))
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lim(5*cos(x) * 1/x) / x^2
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limsqrt(5*abs(x)) - sqrt(2*sqrt(x))
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lim3*x / e^x
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lim(1/sqrt(x)) - (1/4*sqrt(x))
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lim(1/1/x) - (1/e^x)
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limtan(x) / x^2
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lim(1/(x^2) - x^3) / (1/x - 1/(x^2))
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limsqrt(tan(x)) - sqrt(abs(x))
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lim(3*e^x - 1/(x^2)) / (sqrt(x) - x^3)
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lim4*sin(x) / ln(x)
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lim(1/sqrt(x)) - (1/4*abs(x))
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lim2*e^x / 3*x^2
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lim(sqrt(x) - 2*1/(x^2)) / (cos(x) - x^2)
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limsqrt(ln(x)) - sqrt(e^x)
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limtan(x)^2 - tan(x)^2
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lim2*ln(x)^2 - cos(x)^2
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limabs(x)^2 - 1/(x^2)^2
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limabs(x)^2 - 5*sqrt(x)^2
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limln(x) / x
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lim(1/2*sin(x)) - (1/2*sin(x))
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limx / e^x
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lim1/x^2 - 2*cos(x)^2
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lim(abs(x) * sin(x)) / 1/(x^2)
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limsqrt(e^x) - sqrt(3*tan(x))
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lim4*1/x / 5*x
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lim4*tan(x)^2 - 1/x^2
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lim(1/2*1/x) - (1/tan(x))
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lim(1/ln(x)) - (1/1/x)
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lim(1/4*tan(x)) - (1/1/x)
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limsqrt(4*cos(x)) - sqrt(x^2)
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lim5*abs(x) / 1/x
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lim3*x^2 - ln(x)^2
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lim(5*x^2 * ln(x)) / x^3
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lim(x^2 * x^2) / sin(x)
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lim(2*ln(x) * 3*1/x) / tan(x)
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lim(5*sin(x) - e^x) / (1/x - 1/(x^2))
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lim(sin(x) * 3*1/x) / x
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limcos(x)^2 - 4*x^2^2
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limsqrt(x) - sqrt(2*x)
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limsqrt(3*x^3) - sqrt(2*cos(x))
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limsqrt(4*tan(x)) - sqrt(1/x)
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lim(1/e^x) - (1/3*sqrt(x))
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limsqrt(2*e^x) - sqrt(2*x^2)
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lim(1/1/(x^2)) - (1/4*sqrt(x))
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lim5*ln(x) / x^2
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lim(cos(x) - 5*e^x) / (sin(x) - e^x)
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limsqrt(5*1/(x^2)) - sqrt(2*x^3)
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lim1/(x^2)^2 - 5*sin(x)^2
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lim(1/(x^2) - 5*sqrt(x)) / (tan(x) - sqrt(x))
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lim3*abs(x) / cos(x)
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lim(1/(x^2) - ln(x)) / (x^3 - x^3)
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lim2*sin(x)^2 - sin(x)^2
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lim(1/2*cos(x)) - (1/3*sqrt(x))
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lim(x * e^x) / x^3
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lim(1/sqrt(x)) - (1/5*1/(x^2))
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lim(4*x^3 * 4*sqrt(x)) / cos(x)
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lim(tan(x) - 3*x) / (sin(x) - sin(x))
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lim(3*sqrt(x) * sin(x)) / e^x
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limsqrt(2*x^2) - sqrt(5*e^x)
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lim(1/5*sqrt(x)) - (1/2*sqrt(x))
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lim(4*1/(x^2) * 4*x) / ln(x)
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lim(5*abs(x) - 3*ln(x)) / (abs(x) - x^2)
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lim(1/sqrt(x)) - (1/3*sqrt(x))
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lim5*tan(x) / sin(x)
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lim2*x^2 / tan(x)
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lim(3*1/(x^2) - cos(x)) / (e^x - abs(x))
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limsqrt(3*x^2) - sqrt(4*sin(x))
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limx^2 / 4*e^x
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limcos(x)^2 - abs(x)^2
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lim3*e^x / abs(x)
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lim(1/1/x) - (1/sin(x))
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lim3*1/(x^2) / sin(x)
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lim3*1/x / tan(x)
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limsin(x)/x
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lim(e^x-1)/x
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