Question

Solve

$\underset{x\to 0}{lim}\frac{x^3\cot x}{1-\cos x}$

Answer 1

$\underset{x\to 0}{lim}\frac{x^3\cot x}{1-\cos x}\underset{x\to 0}{lim}\frac{\frac{x}{\tan x}}{\frac{1-\cos x}{x^2}}$

$=\frac{1}{\frac{1}{2}}$

$=2$