Question:medium

Evaluate: \[ \lim_{x \to 0} \frac{\int_0^{x^2} \sin\sqrt{t}\,dt}{x^3} \]

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For limits with integrals, differentiate using Leibniz rule or use small-angle approximations.
Updated On: Apr 16, 2026
  • \(\frac{2}{3}\)
  • \(\frac{1}{3}\)
  • 0
  • \(\infty\)
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The Correct Option is A

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