A problem of infinite series

  • Thread starter godistring
  • Start date
  • #1
godistring
I don't know how to get a analytic expression of this infinite series:
[tex]\sum_{n=0}^{+\infty} \frac{1}{1+x^n}[/tex]
here [tex]x>1[/tex].

Thanks!
 

Answers and Replies

  • #2
529
1
Probably completely useless- but

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

gives an empirically reasonable fit
 
  • #3
529
1
Get that smart *** Gib Z to have a go.
 
  • #4
Gib Z
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lol what did I do >.< I can't tell if thats derogatory or a compliment..
 
  • #5
529
1
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.
 
  • #6
Gib Z
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lol but as a whole? Did I say something mean? If so im sorry >.<
 
  • #7
529
1
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!
 
  • #8
Gib Z
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Lol its alright, Just trust me I'm working on it as i type. Looks familiar :)
 
  • #9
Gib Z
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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:
  • #10
Gib Z
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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...
 

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