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