# A problem of infinite series

1. Apr 9, 2007

### 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!

2. Apr 9, 2007

### christianjb

Probably completely useless- but

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

gives an empirically reasonable fit

3. Apr 9, 2007

### christianjb

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

4. Apr 9, 2007

### Gib Z

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

5. Apr 9, 2007

### christianjb

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

6. Apr 9, 2007

### Gib Z

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

7. Apr 9, 2007

### christianjb

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!

8. Apr 9, 2007

### Gib Z

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

9. Apr 9, 2007

### Gib Z

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: Apr 9, 2007
10. Apr 12, 2007

### Gib Z

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...