Question

Evaluate :
$\underset{x\to 0}{lim}\frac{\tan x-\sin x}{x^{}}$

Answer 1

The form takes $\frac{0}{0}$ form

Using $\text{L`Hospitals rule}$

$\underset{x\to 0}{lim}{\sec }^{2}x-\cos x=1-1=0$