Posted by Cynthia on Friday, July 29, 2011 at 10:01am.
Using L'Hôpital's rule, evaluate lim of xe^(x) as x approaches infinity

calculus  MathMate, Saturday, July 30, 2011 at 7:09pm
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