Register to reply

Convergence of series

by Eismc[]
Tags: convergence, series
Share this thread:
Eismc[]
#1
Nov21-05, 05:00 AM
P: 4
Hello everyone,

does someone know what the value of [SUM (k from 0 to infinity) kČ(x^k)] (with |x| < 1) is? I couldn't find it anywhere. :-( Are there any good online databases for such things?

Many thanks in advance!
Phys.Org News Partner Science news on Phys.org
Mysterious source of ozone-depleting chemical baffles NASA
Water leads to chemical that gunks up biofuels production
How lizards regenerate their tails: Researchers discover genetic 'recipe'
mathman
#2
Nov21-05, 03:58 PM
Sci Advisor
P: 6,057
Starting with sum xk =1/(1-x), you can easily derive what you want faster than trying to look it up. Take the derivative of both sides, mutiply both sides by x, repeat both steps, you will end up with what you are looking for.


Register to reply

Related Discussions
Convergence of a Series Calculus & Beyond Homework 1
Convergence of a series Calculus & Beyond Homework 14
Convergence of a series Calculus & Beyond Homework 3
Series Convergence Calculus & Beyond Homework 3
Series convergence Introductory Physics Homework 1