Functions Question 286

Question: $ \underset{\theta \to \frac{\pi }{2}}{\mathop{\lim }},\frac{\frac{\pi }{2}-\theta }{\cot \theta } $ =

[Karnataka CET 2004]

Options:

A) 0

B) ?1

C) 1

D) $ \infty $

Show Answer

Answer:

Correct Answer: C

Solution:

Using L-Hospital’s rule, $ \underset{\theta \to \frac{\pi }{2}}{\mathop{\lim }},\frac{-1}{-cose{c^{2}}\theta }=1 $ .