Question

find series expansion of the form \(\sum c_nx^n\) for :-
\(\frac{x}{e^x-1}\)

Answer 1

i smell zeta

Answer 2

hhaha wanted to teach u Bernoulli :P

Answer 3

anyway start with expanding this series

Answer 4

can i find c(n) for continous form from laplace and then look for a relationship in descrete

Answer 5

1-x/2+x^2/12-x^4/720+...

Answer 6

if that works , but i thought it much easy to expand since c_n is the coefficient of the other terms

Answer 7

Hmm, so would it be hard to do \[
c_n=\frac{f^{(n)}(0)}{n!}
\]

Answer 8

nope it wont be hard