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