$\mathop {\lim }\limits_{x \to 0} \,\,\frac{{\mathop \smallint \nolimits_0^{{x^2}} \,\,\tan \,\,\sqrt t \,dt}}{{{x^3}}}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

\lim\limits_{x \to 0} \,\,\frac{{\int \nolimits_0^{{x^2}} \,\,\tan \,\,\sqrt t \,dt}}{{{x^3}}}

is equal to

View answer and explanation

Correct option: D

None of these

Option D is correct. The limit does not exist because the left-hand limit and right-hand limit are not equal.

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