Question

Solve:
$\underset{x\to 0}{lim}\frac{sin3x}{x}$

Answer 1

We have,

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

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

We know that

${lim}_{x\to 0}\frac{\sin x}{x}=1$

Therefore,

$=3\times 1$

$=3$

Hence, this is the answer.