sum (1/(2^(sqrt(n)))) from 1 to infinity - Wolfram|Alpha

I need to prove that this series converges. Thanks

Printable View

- Jun 12th 2013, 10:26 AMkicmaSeries 1/(2^(sqrt(n))
sum (1/(2^(sqrt(n)))) from 1 to infinity - Wolfram|Alpha

I need to prove that this series converges. Thanks - Jun 12th 2013, 10:52 AMPlatoRe: Series 1/(2^(sqrt(n))
This is a special case of the

*limit comparison test*.

If each of $\displaystyle \sum {{a_n}} \;\& \;\sum {{b_n}}$ is a series of positive terms and $\displaystyle \sum {{b_n}} $ converges and if $\displaystyle {\lim _{n \to \infty }}\frac{{{a_n}}}{{{b_n}}} = 0$ then $\displaystyle \sum {{a_n}}$ also converges. - Jun 13th 2013, 02:10 AMkicmaRe: Series 1/(2^(sqrt(n))
I know that but I have a problem finding series to compare to.

- Jun 13th 2013, 02:34 AMPlatoRe: Series 1/(2^(sqrt(n))
- Jun 13th 2013, 04:56 AMkicmaRe: Series 1/(2^(sqrt(n))
Thanks, I got it.