# Series that converges and diverges

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• April 26th 2012, 05:24 PM
JC05
Series that converges and diverges
What is a series that converges from 0 < bn < 2n for all n

What is a series that diverges from 0 < bn < 2n for all n
• April 27th 2012, 07:25 AM
HallsofIvy
Re: Series that converges and diverges
For the second, take $b_n= 1/n$ for n= 1 to infinity. For the second take $b_n= (-1)^n/n$.