for a), should I expand it to Lauren series... and then see what coefficients I get?
Find the isolated singularities (if any) of the following function. For each isolated singularity, describe its nature; that is is it removeable or a pole (and of what order) or essential? In each case, calculate the residue of the function at the singularity.
I got a removable singularity at z=0.
but how do I exactly work out the residue for this?
I got none. because you cannot have a complex number which is multiplied to a power of a half. I'm not quite sure about this one...
I got a removable singularity at z=0. Not sure about this one either.... These are some hard functions that I got...
Please help me out!!