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Proving that a series diverges - help!

So i've been doing some work on sequences lately and got stuck on this question (it has been attached as an image) Attachment 28185

I know that I have to use the nth term test for divergence but I am not sure of how to go about doing it

any help is much appreciated! thank you

Re: Proving that a series diverges - help!

Quote:

Originally Posted by

**kaya2345** So i've been doing some work on sequences lately and got stuck on this question (it has been attached as an image)

Attachment 28185
I know that I have to use the nth term test for divergence.

You should know that

Well

Re: Proving that a series diverges - help!

Alternatively, represent as and then prove that as using either Taylor series or L'Hopital's rule.

Re: Proving that a series diverges - help!