Question

Evaluate the limit :

$li{m}_{x\to 0}\frac{\sin 3x}{x}$

• A. $0$
• B. $\infty$
• C. $3$
• D. none of these

Answer 1

The correct option is C $3$

$\underset{x\to 0}{lim}\frac{\sin 3x}{x}$

$=\underset{x\to 0}{lim}(3\times \frac{\sin 3x}{3x})$

$=3\underset{x\to 0}{lim}\frac{\sin 3x}{3x}=3\left(1\right)=3$