# A problem of infinite series

godistring
I don't know how to get a analytic expression of this infinite series:
$$\sum_{n=0}^{+\infty} \frac{1}{1+x^n}$$
here $$x>1$$.

Thanks!

## Answers and Replies

Probably completely useless- but

S=1/2+1/([x^1.2]-1)

gives an empirically reasonable fit

Get that smart *** Gib Z to have a go.

Gib Z
Homework Helper
lol what did I do >.< I can't tell if thats derogatory or a compliment..

lol what did I do >.< I can't tell if thats derogatory or a compliment..

The 'smart' bit is a compliment, the *** bit- not so much.

Gib Z
Homework Helper
lol but as a whole? Did I say something mean? If so im sorry >.<

lol but as a whole? Did I say something mean? If so im sorry >.<

It's all a compliment! Just in a snarky way. Don't worry- I just express myself sarcastically. I thought you might know the answer to the above math problem. Sorry if I worried you!

Gib Z
Homework Helper
Lol its alright, Just trust me I'm working on it as i type. Looks familiar :)

Gib Z
Homework Helper
Ok I stuck here lol. What level of mathematics did you get this question from, and are you sure it even has a solution?

Have you done Hyper geometric series yet?

EDIT: Forget the hypergeometric series, all I get is nested series.

Last edited:
Gib Z
Homework Helper
Please some Admins or someone better at math than me, help me! Seeing as the OP hasn't come back yet and has only 1 post, maybe this person found out the question has no solution...