# Thread: Series that converges and diverges

1. ## 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

2. ## Re: Series that converges and diverges

For the second, take $b_n= 1/n$ for n= 1 to infinity. For the second take $b_n= (-1)^n/n$.