sum (1/(2^(sqrt(n)))) from 1 to infinity - Wolfram|Alpha
I need to prove that this series converges. Thanks
sum (1/(2^(sqrt(n)))) from 1 to infinity - Wolfram|Alpha
I need to prove that this series converges. Thanks
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.