I've been stuck solving two questions:

1) (-1)^n all over(1 + 1/n)^n^2

I absolute valued the whole series to get rid of the (-1^n) and got stuck with something that seems almost like e on the bottom. But after applying the ratio test and a poor attempt to convert it into e, I got stuck.

2) (-1)^n * sin (1/n) all over ((ln(1+n))^2)

I'm not too sure on how to approach the problem. If I absolute value it and let the limit n tend to infinity, I get 0 over infinity.

Thank you for the help!