Question

$\lim_{x\to 0} \frac{\sin x - \sin x}{x^3}$ is

• A. $-2$
• B. $2$
• C. $0$
• D. None of these

Hint:

If numerator is identically zero, limit is zero.

Answer 1

The Correct Option is D

Step 1: $\sin x - \sin x = 0$. So numerator is 0.}
Step 2: $\lim_{x\to 0} \frac{0}{x^3} = 0$.}
Step 3: But $0$ is not in options? Actually option (C) is $0$. So answer is (C).}