Math Help - Determine whether the series converge.

1. Determine whether the series converge.

I need some help in tackling this problem. Im unsure what test i should use to determine whether this series converges or not. I thinking maybe the comparison test?

(Sum of) n=1, infinity $ncosn / n+5$

2. ( $\sum^\infty {n\cos n \over n+5}$ you mean?)

$\Big|{n\cos n \over n+5}\Big| = \Big|{n\over n + 5}\Big||\cos n| = \Big|{n+5-5\over n+5}\Big||\cos n|$ $=\Big|1-{5\over n + 5}\Big||\cos n|$. Does this go to 0 as $n\to\infty$? If not, then the series diverges.

edit: oops, lost the cosine heh