Limit of (x - sin(x)) / (sqrt(x) - 1/x)
Instant step-by-step solution for (x - sin(x)) / (sqrt(x) - 1/x)
How to find the limit of (x - sin(x)) / (sqrt(x) - 1/x)
To find the limit of (x - sin(x)) / (sqrt(x) - 1/x), we use standard limit laws, algebraic simplification, and L'Hôpital's rule. Our AI-powered calculator breaks down the steps.
Practice More Problems
Integral of 5*x^3 + 5*ln(x)
Find limit 5*x^3 + 5*ln(x)
Limit of ln(x) / 5*abs(x)
Find limit ln(x) / 5*abs(x)
Derivative of sinh(3*x)
Find limit sinh(3*x)
Limit of (1/2*sin(x)) - (1/2*sin(x))
Find limit (1/2*sin(x)) - (1/2*sin(x))
Integral of x^2 + 3*1/sqrt(1-x^2) + 3*sqrt(x)
Find limit x^2 + 3*1/sqrt(1-x^2) + 3*sqrt(x)
Derivative of (x^3+2)^2
Find limit (x^3+2)^2
Limit of 1/x^2
Find limit 1/x^2
Limit of (3*cos(x) * 4*x) / tan(x)
Find limit (3*cos(x) * 4*x) / tan(x)
Limit of (1/3*cos(x)) - (1/3*x^2)
Find limit (1/3*cos(x)) - (1/3*x^2)
Integral of 4*cos(x) + 4*x^3
Find limit 4*cos(x) + 4*x^3