Q3.(13 pts) Evaluate the limit \( \lim_{x \to 0} \frac{1}{x^2} \int_0^x \frac{e^{t^4} - e^{-t^4}}{t^2} dt \)
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I assume the expression is: $$\lim_{x \to 0} \frac{\sqrt{1+x} - 1}{x}$$ Now, we can use L'Hopital's Rule since the limit is in the indeterminate form $\frac{0}{0}$ as $x \to 0$. L'Hopital's Rule states that if the limit of the ratio of the derivatives of the Show more…
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