Question

Solve:
$\underset{x\to 0}{lim}\frac{\tan x}{x}$

Answer 1

We have,

${lim}_{x\to 0}\frac{\tan x}{x}$

$={lim}_{x\to 0}\frac{{\sec }^{2}x}{1}$

$={\sec }^2\left(0\right)=1$

Hence, this is the answer.