Menu Close

let-1-lt-x-lt-1-calculate-n-1-x-n-1-x-n-1-x-n-1-




Question Number 31980 by abdo imad last updated on 17/Mar/18
let −1<x<1 calculate  Σ_(n=1) ^∞    (x^n /((1−x^n )(1−x^(n+1) )))  .
$${let}\:−\mathrm{1}<{x}<\mathrm{1}\:{calculate}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\:\frac{{x}^{{n}} }{\left(\mathrm{1}−{x}^{{n}} \right)\left(\mathrm{1}−{x}^{{n}+\mathrm{1}} \right)}\:\:. \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *