Functions Question 126

Question: $ \underset{x\to \pi /2}{\mathop{\lim }},\frac{1+\cos 2x}{{{(\pi -2x)}^{2}}}= $

[DSSE 1986; AI CBSE 1986]

Options:

A) $ 1 $

B) $ 2 $

C) 3

D) $ \frac{1}{2} $

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Answer:

Correct Answer: D

Solution:

$ \pi -2x=\theta \Rightarrow x=\frac{\pi }{2}-\frac{\theta }{2} $ and as $ x\to ,(\pi /2),\theta \to 0 $ Now solve yourself.