$\lim\limits_{x \rightarrow 0} \int\limits_0^{x^2}\left(\frac{\cos t^2}{\sqrt{t}}\right) d t$ is equal to
Answer & explanation
Correct answer: option 1
$\lim\limits_{x \rightarrow 0} \frac{\int\limits_0^{x^2} \cos t^2 d t}{\sqrt{t}}=\lim\limits_{x \rightarrow 0} \frac{\cos x^4 . 2 x}{x}=2$
Hence (1) is the correct answer.