Prove that `f(x)=x(x/(e^(x)-1)+x/2)` is odd function. – InterviewSolution

InterviewSolution

1.	Prove that `f(x)=x(x/(e^(x)-1)+x/2)` is odd function.
Answer» Let `g(x)=(x/(e^(x)-1)+x/2)` then `g(-x)=((-x)/(e^(-x)-1)+(-x)/2)=(x/(e^(x)-1)+x/2)` `implies g(x)` is even hence `f(x)=x.g(X)=x(x/(e^(x)-1)+x/2)` is odd function.

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