Functions Question 108
Question: $ \underset{x\to 0}{\mathop{\lim }},\frac{\sin (2+x)-\sin (2-x)}{x}= $
[AI CBSE 1983; AISSE 1982, 83]
Options:
A) $ \sin 2 $
B) $ 2\sin 2 $
C) $ 2\cos 2 $
D) 2
Show Answer
Answer:
Correct Answer: C
Solution:
Apply formula of $ \sin C-\sin D $ , i.e., $ \underset{x\to 0}{\mathop{\lim }},\frac{\sin (2+x)-\sin (2-x)}{x}=\underset{x\to 0}{\mathop{\lim }},\frac{2\cos 2.\sin x}{x} $ $ L,{g}’(0)=0 $ You may also apply L-Hospital rule.
BETA
