- #1
annawells
- 11
- 0
Homework Statement
The following function has a singularity at z=0
(e^z)/(1 - (e^z))
decide if its removable/a pole/essential, and determine the residue
The Attempt at a Solution
I played with the function and saw it can be re-written as: -1 /(z + z^2/2! + z^3/3! +...)
In this case, the function still does not "behave" at z=0, so do i need to find a different expansion? I am all out of ideas!
(note: i know that as well as z=0, we also have singularities at z=2ki'pi' for k in Z, but the question just wants the nature of the singularity at z=0)
Any help would be greatly appreciated, thanks :-)