This should be the easiest part of my module but i just cant figure it out...

Let . Find the singularities and classify them.

So need to find when .

One root is -1. The others we get from DeMoivres Thm...

I seem to think it should be something like for k = 1,2,3 but that gets me instead of ...

Also is there an easy way to classify the singularities? I know they are simple poles but im not sure how to prove it...