# Math Help - Testing whether series converges

1. ## Testing whether series converges

series n^2*e^-n, from n=1 to infinity.

I used the ratio test, and got lim n--> infinity=e, so by the ratio test the series converges. Is this correct?
Is there a better way to do this problem?
Sorry I couldn't figure out how to put the series notation, I'll have to figure that out.
Thanks in advance!

2. ## Re: Testing whether series converges

Indeed, the serie converges.

3. ## Re: Testing whether series converges

A small correction, the limit is 1/e which is < 1. Thus, the series converges (absolutely).