Another Limit Problem

[temporaryinsanit]

Someone please help me with this question thank you!
When I solved for it I got my answer to be e but I'm not sure if it is right.

lim x² e^x
x?1

 

[BigGlenntheHeavy]

\(\displaystyle \lim_{x\to1}x^{2}e^{x} \ = \ \lim_{x\to1}(1)^{2}e^{1} \ = \ \lim_{x\to1}e \ = \ e\)

\(\displaystyle Right \ on, \ so \ easy \ that \ you \ doubted \ your \ answer?\)

 

[temporaryinsanit]

Thank you!