# How to determine is #sum(-1)^n n/(n+1)# absolutely convergent, conditionally convergent or neither?

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##### 2 Answers

Mar 28, 2018

neither

#### Explanation:

diverges by nth term test

Mar 28, 2018

Diverges

#### Explanation:

This is an alternating series. Let us first attempt to try the alternating series test, which tells us if we have a series in the form

Here,

So, the alternating series test is inconclusive.

Instead, we'll use the Divergence Test, and take

This limit does not truly exist due to the