I Solve It. but feeling some confusion, can you help me

Let / (2) 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 -4-+ 3i. simplifying the coefficients. (b) Find the radius of convergence R of the Taylor series T.(=) of f(=) at -4 + 31. (c) Identify on a picture any points = where T(2) converges but T(2) # 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