Determine whether _ x e^ x x^ 5 is ,

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Determine whether

\lim_{x\to\infty}\frac{e^{x}}{x^{5}}

0

\infty

, or a finite non-zero constant. State your conclusion and give one brief reason.