Can an Analytic Expression be Found for this Infinite Series with x>1?

[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!

 

[christianjb]

Probably completely useless- but

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

gives an empirically reasonable fit

 

[christianjb]

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

 

[Gib Z]

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

 

[christianjb]

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

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

 

[Gib Z]

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

 

[christianjb]

lol but as a whole? Did I say something mean? If so I am 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]

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

 

[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.

 

[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...