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AP Calculus AB/Unit 1: Limits and Continuity
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Limit Evaluation with L'Hôpital's Rule

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What is the value of lim⁡x→04x2e4x−4x−1\displaystyle \lim_{x \to 0} \frac{4x^2}{e^{4x} - 4x - 1}?

A

00

B

88

C

nonexistent

D

12\displaystyle \frac{1}{2}

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