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\( \lim _{x \rightarrow 0^{+}} \frac{\int_{0}^{x^{2}}(\sin \sqrt{t}) d t}{x^{3}} \) is equal to: [JEE Main 2021, 24 Feb …

Q1

\( \lim _{x \rightarrow 0^{+}} \frac{\int_{0}^{x^{2}}(\sin \sqrt{t}) d t}{x^{3}} \) is equal to:

[JEE Main 2021, 24 Feb (Shift 1)]

a

\( \frac{1}{15} \)

b

0

c

\( \frac{2}{3} \)

d

\( \frac{3}{2} \)

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