Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

$\lim\limits_{x \rightarrow \pi / 4} \frac{cosec ~x-\sec x}{\cot x-\tan x}$

Options:

$\sqrt{2}$

$1/\sqrt{2}$

1/2

2

Correct Answer:

$1/\sqrt{2}$

Explanation:

$\lim\limits_{x \rightarrow \frac{\pi}{4}} \frac{cosec ~x-\sec x}{\cot x-\tan x}=\lim\limits_{x \rightarrow \frac{\pi}{4}} \frac{1}{\sin x+\cos x}= 1/\sqrt{2}$

Hence (2) is the correct answer.