MHB How to Solve the Limit lim x→-∞: x²e^x?

[Petrus]

Hello MHB,
I got stuck on this limit
$$\lim_{x->-\infty}x^2e^x$$

progress:
I did rewrite that as
$$\frac{e^x}{\frac{1}{x^2}}$$ and then did variabel subsitution $$t=\frac{1}{x^2}$$ but that did not work well,

Regards,
$$|\pi\rangle$$

 

[alyafey22]

Try $$\frac{x^2}{e^{-x}}$$

 

[Petrus]

Try $$\frac{x^2}{e^{-x}}$$

Hello Zaid,
Thanks once again and many thanks for the fast responed! Now I solved it with l hopitals rule!:) Cleaver!

Regards,
$$|\pi\rangle$$