Hi all, my problem regards this limit:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\lim_{n\to\infty}n^2e^{(-\sqrt{n})}[/tex]

Obviously equals 0, but I can't find how to show it.

Tried the squeeze theorem (coudn't find any propriate upper bound)

Ratio test won't seem to work..

I do realize the reason for that is that the set approaches 0 starting at heigher n's..

Anyway.. how can I prove convergence and find the limit in a formal way? thanks!

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Lim of An=n^2*exp(-sqrt(n))

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**