Here is a nasty series:

Pn = (n+1)2^n/(n!)^2

Using the ratio test I get:

Pn+1/Pn = 2/(n+1)(n!)

However I dont think this is correct, plus I dont even Know if this is the best way to test if the above nasty is convergent

and Im going to cry because I'm stuck

please help, sniff