AP

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Evaluate

\displaystyle\lim_{x\to -\infty} x^{2}e^{x}

. (a)

\infty

(b) The limit is undefined because

e^{x}

is negative for

x<0

. (c)

0

(d) The limit does not exist because it is an indeterminate form

0\cdot\infty