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

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

Problem

Evaluate the limit

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