Find the Laurent series for the given function about the indicated point and give the residue of the function at the point
1/(e^z-1)
zo=0 (four terms of the Laurent series)
I need help!!!plz
The most confortable way starts with the Taylor expansion...
(1)
... where the are the so called 'Bernoulli numbers'. The first are ...
(2)
Except for all the with n odd are null. From (1) and (2) we derive that...
(3)
... so that the residue of in is ...
Kind regards