Question

$\lim _{x \rightarrow \infty} \frac{\sin x}{x}$ is equal to

(a) $\infty$

(b) 1

(c) 0

(d) Doesn't exist

Answer 1

$\lim _{x \rightarrow \infty} \frac{\sin x}{x}=\lim _{x \rightarrow \infty} \frac{1}{x} \cdot \lim _{x \rightarrow \infty} \sin x$

$=0 \times \text { finite value }=0$

So, The correct option of this question will be (C).