# How do you determine if the series the converges conditionally, absolutely or diverges given #Sigma ((-1)^(n+1)n^2)/(n+1)^2# from #[1,oo)#?

##### 1 Answer

Apr 3, 2017

The series diverges.

#### Explanation:

The series

The

The meat of the sequence is

So, as the series extends infinitely, alternating terms approaching a value of