Functions Question 691

Question: $ \underset{x\to 0}{\mathop{\lim }},\frac{1-\cos 2x}{x}= $

[MNR 1983]

Options:

A) 0

B) 1

C) 2

D) 4

Show Answer

Answer:

Correct Answer: A

Solution:

$ \underset{x\to 0}{\mathop{\lim }},\frac{x,.,2,{{\sin }^{2}}x}{x^{2}}=2.\underset{x\to 0}{\mathop{\lim }},{{( \frac{\sin x}{x} )}^{2}}\cdot \underset{x\to 0}{\mathop{\lim }},x=0 $ .