SOLUTION: This is calculus - limits Find Lim x->infi x^2 * e^-x

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Question 435783: This is calculus - limits

Find Lim x->infi x^2 * e^-x
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
lim%28x-%3Einfinity%2C+x%5E2e%5E%28-x%29%29+=+lim%28x-%3Einfinity%2C+x%5E2%2Fe%5Ex%29. This is indeterminate so we use L'Hopital's rule:

. This limit is equal to zero, so the limit of the original expression is also equal to zero.