(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

3. 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? im 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 :-)

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# Homework Help: Finding the residue of a singularity

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