This is another past exam question, which we have not been given anwers to, so i was hoping someone could check my answer, so i know if i am on the right track.
Find the first three non zero terms of the laurent series on an annulus centred at zero.
Now the sinularities are at 0, and 1, and they are both double poles.
I did it as follows:
and i used the binomial theorm to get the cooeficients of z.
This gave me:
Does any one know a way that i can check my solution, to make sure i have not stuffed it up.