# How do you determine the convergence or divergence of #Sigma ((-1)^(n+1)n^2)/(n^2+5)# from #[1,oo)#?

##### 1 Answer

May 12, 2017

The non-alternating portion of the sequence that makes up the series is

Note that

This means that as

A powerful tool for testing divergence is the rule that if

Here,