What is a series that converges from 0 < b_{n}< 2^{n}for all n

What is a series that diverges from 0 < b_{n}< 2^{n}for all n

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- Apr 26th 2012, 05:24 PMJC05Series that converges and diverges
What is a series that converges from 0 < b

_{n}< 2^{n}for all n

What is a series that diverges from 0 < b_{n}< 2^{n}for all n - Apr 27th 2012, 07:25 AMHallsofIvyRe: Series that converges and diverges
For the second, take $\displaystyle b_n= 1/n$ for n= 1 to infinity. For the second take $\displaystyle b_n= (-1)^n/n$.