QOD-24/05/13 summation of series

Find the summation
s=x+x2+x4+x8.......till infinity

6 Answers

337
Sayan Sinha ·

    s=x+x2+x4+x8.......∞
=>s= x(1+x2+x4+x8...∞)
=>s=x(1+s)
=>s=x1-x

2305
Shaswata Roy ·

I think s = x2-x2x-1

466
Himanshu Giria ·

IF X<1,
THEN S=1+X;
IF X≥1 ,
THEN S=∞

466
Himanshu Giria ·

IF X<0 ,
THEN S=1-X;

206
Sayantan Hazra ·

Hint: Concentrate on 2nd,3rd,4th terms leaving aside the 1st term.... :)

2305
Shaswata Roy ·

This is a Lacunary function [See-"http://en.wikipedia.org/wiki/Lacunary_function"].

It does not have a closed form.

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