Hi,

I just want to make sure I've done this right.... I have to find out if this diverges or converges, so I used the ratio test and showed the limit is 1/3, meaning it converges.

$\displaystyle \sum_{n=1}^{\infty} \frac{n!}{n^n}$

I'm not sure how I should do this one...

$\displaystyle \sum_{n=1}^{\infty} ne^{-n}$

Thanks