i have a power series of this form

on attempting, i arrived at the sum-function

pls help if i missed it.

thanks

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- May 29th 2013, 07:34 AMlawochekelpower series sum-function!
i have a power series of this form

on attempting, i arrived at the sum-function

pls help if i missed it.

thanks - May 29th 2013, 08:50 AMJJacquelinRe: power series sum-function!
The result MUST NOT contain

*n*, because*n*is the variable index for sumation.

Derive the sum in order to get a geometric sum.

After expressing the geometric sum as a closed form, integrate it. - May 29th 2013, 02:35 PMHallsofIvyRe: power series sum-function!
Your sum is the same as .

Do you know the Taylor series for ln(x+ 1) about x= 0?