Evaluate : `Lim_(x to 0)int_(0)^(x^(2)){(sinsqrt(t)) (tansqrt(t))dt}/(x^(4))`

Explanation

To evaluate the limit

\[ \lim_{x \to 0} \frac{\int_0^{x^2} \sin(\sqrt{t}) \tan(\sqrt{t}) \, dt}{x^4}, \]

we will use the Fundamental Theorem of Calculus (Newton's Leibniz theorem).

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