calculus
posted by Cynthia .
Using L'Hôpital's rule, evaluate lim of xe^(x) as x approaches infinity

X=Lim xe^(x)
x>∞
=Lim x/e^x
x>∞
L'hôpital's rule is applicable if direct evaluation results in an indeterminate form, which is the case here.
To apply the rule, differentiate both numerator and denominator to give
X=Lim 1/e^x
x>∞
=0