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MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Evaluate lim⁡x→0e2x−1−2x−2x2x3\displaystyle\lim_{x\to 0}\frac{e^{2x}-1-2x-2x^{2}}{x^{3}}. (a) 22 (b) 83\dfrac{8}{3} (c) 43\dfrac{4}{3} (d) 13\dfrac{1}{3}

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