Functions Question 132

Question: $ \underset{x\to 0}{\mathop{\lim }},\frac{3\sin x-\sin 3x}{x^{3}}= $

[AISSE 1985]

Options:

A) 4

B) ?4

C) $ \frac{1}{4} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ \underset{x\to 0}{\mathop{\lim }},\frac{4,{{\sin }^{3}}x}{x^{3}}=4. $