Find the Laurent series, valid in the annulus
Find the Taylor series, centered at
What is the radius of convergence of this series?
Hey Richmond. Do you know the techniques/formulas for computing these? It's hard to tell where you need help as you've posted no working, that in turn makes it hard to reply to this without just doing the whole question for you.
For the radius of converegence bit, for which values does this function fail to be analytic and how far away are these points from the centre of your expansion?
If you post where you're stuck I'll be more than happy to help