sum n=1 to infinity (-1)^n-1*n^2/(n+1)!

i broke it up into two sequences a(n)=(-1)^n-1 and b(n)=n^2/(n+1)! i know that a(n) is convergent so am guessing is b(n) diveirgent or convergent am not sure how to check it? any help would be much appreciated.