I'm just a bit confused as to how to solve this.

29. a) Show that lim nLog (1 - = Logz for a suitable value of z. dz b) Prove the following version of 1'Hospital's Rule for functions of a complex variable: Let f, g: D - C where D & C is open. Suppose that c E D, f(c) = g(c) = 0, but g(z) # 0 for z ED \\ {c}. If f' (c) and g' (c) exist and g' (c) * 0, then lim f (z) _ f' (c) 8 (z) Z-C g' (c)