Required complete and step by step solution otherwise i will rate unhelpful

Let f(z) be the "branch" of log z defined off the negative real axis so that f (1) = 0. (a) Find the Taylor polynomial of f of degree 2 at -1 | 31. simplifying the coefficients. (b) Find the radius of convergence R of the Taylor series T(z) of f(=) at -4 + 3i. (c) Identify on a picture any points z where 7(2) converges but T(z) / f(2), and describe the relationship between f and T at such points. If there are no such points, is this some- thing special to this example, or a general impossibility? Explain and/or give examples