Maclaurin serie of x/e^x-1

[native cedar]

Dr.AppleTree
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[unreal stag]

I think you can try to prove that :
$$x = \left(\sum_{n=0}^\infty \frac{B_n}{n!}x^n \right) \left( e^x -1\right)$$

[native cedar]

Ævan

[unreal stag]

And use the Cauchy's product on the right side