Thread: complex analysis question

Compute two distinct Taylor series expansions of the function
g(z) = z-3/z-2, one cenetered at z0=0 and another centered at z0=3. Compute the radius of convergence for each series.

Any help would be appreciated. I am quite stuck. Thank you in advance.

The procedure should be demonstrated in your textbook. Where are you getting stuck?

okay so i know that the expansion for 1/z-2 is -1/2 - z/4 - z^2/8 - z^3/16 + .... if you multiply (z-3) with that then you get 3/2 + z/4 + z^2/8 + z^3/16 + ... is that correct? and for z = 3 i do not really know how I would go about calculating the expansion? it isnt really in my book?