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

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prove that x/(e^x-1) + x/2 is an even function, and therefore its power series only involves even powers of x.
 
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appletree3 said:
prove that x/(e^x-1) + x/2 is an even function, and therefore its power series only involves even powers of x.


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.
 

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