Determine the limit _ x 0 e^ 2x -1-2x-2x^ 2 x^ 3 .

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Determine the limit

\lim_{x\to 0}\frac{e^{2x}-1-2x-2x^{2}}{x^{3}}.