The absolute value of it is:
Try the Root Test.
Try to use the comparison tests for it.
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!
Sweet now I get the first question. Initially I did the same thing and thought that raising it to the n power would only result in n+1 for some odd reason.
But as for the second series, I used the comparison tests of two separate p series: 1/n and 1/n^2 and neither work. Mind hinting a bit more?