Question

$\underset{x\to 0}{lim}\frac{\sin x}{x}$ is

• A. $1$
• B. $-1$
• C. does not exist
• D. None of these

Answer 1

The correct option is A $1$

Consider the given function.

$={lim}_{x\to 0}\frac{\sin x}{x}$

Applying L’ hospital rule

${lim}_{x\to 0}\frac{\cos x}{1}$

${lim}_{x\to 0}\cos x$

$=\cos 0$

$=1$

Hence, this is the answer.