Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

$\lim\limits_{x \rightarrow 0} \int\limits_0^{x^2}\left(\frac{\cos t^2}{\sqrt{t}}\right) d t$ is equal to

Options:

2

3

4

5

Correct Answer:

2

Explanation:

$\lim\limits_{x \rightarrow 0} \frac{\int\limits_0^{x^2} \cos t^2 d t}{\sqrt{t}}=\lim\limits_{x \rightarrow 0} \frac{\cos x^4 . 2 x}{x}=2$

Hence (1) is the correct answer.