Thread: Convergent, conditionally convergent or divergent. Need help with this please.

Investigate whether the series ∑_(n =1) to ∞ of [(-1)^(n+1)]/√n is absolutely convergent, conditionally convergent or divergent.

All help appreciated. Thanks.

Originally Posted by alpha

Investigate whether the series ∑_(n =1) to ∞ of [(-1)^(n+1)]/√n is absolutely convergent, conditionally convergent or divergent.

All help appreciated. Thanks.

This is pretty straightforward. Does the series itself converge? Does the series still converge if you take the absolute value of the summand?

I have no idea about this. I am no good at series and cant asnwer this question.

Thanks.

You were told what to do, and I would've answered as Drexel28 did.

How do i work out whether this series converges? As I told, I am no good at this topic so am struggling on how to tackle this question.

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