So after using the series divergence test, since the limit does not equal 0, the series will diverge. At least I think I did the test right. How would this look as a proof though? Do I just show my work for the divergence test and then say "by the series divergence test this series diverges"? I just took knowledge from my calculus 2 class and applied it here. However, I don't remember going over a series divergence test in my analysis class, so I'm a little skeptical.