Question

Please look at the equation i wrote in the comments and evaluate.

Answer 1

\[\lim_{x \rightarrow \infty} xe ^{-x}\]

Answer 2

this is indeterminate of type (infinity)*0. Use L'hopital's rule for this one...

Answer 3

rewrite it, then use L'Hopitals rule
\[\frac{x}{e^{x}}\]
differentiate
\[\frac{1}{e^{x}}\]
lim = 0

Answer 4

Awesome! thank you!!