Functions Question 72

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

[IIT 1973]

Options:

A) 2

B) 1

C) ?2

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

$ \underset{x\to \pi /2}{\mathop{\lim }},2,[ \frac{x-\frac{\pi }{2}}{\sin ,( \frac{\pi }{2}-x )} ]=-,2 $ Aliter : Apply L-Hospital?s rule.