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 $ .