Prove that x/(e^x-1) + x/2 is an even function, and therefore its

1. Mar 4, 2008

appletree3

prove that x/(e^x-1) + x/2 is an even function, and therefore its power series only involves even powers of x.

2. Mar 4, 2008

sutupidmath

well to show that it is even is not difficult at all, i tried it myself and it works nicely!

all you need to do is show that f(-x)=f(x), this method works, although there might be others as well.