Qn 1. (a) Explain the difference between pointwise and uniform convergence for a se- quence of functions {f} converging to a function / on X CC. [3] (b) Show that the sequence f(2)=1-2" converges pointwise on the open disk D(0; 1). State, with reasons, whether or not the sequence of derivatives (2) is convergent in D(0; 1). [6,5] (d) Show that the sequence gn(z) = ne converges uniformly on E = {2 C| Re(2) 2 1}, indicating the function to which the sequence converges. [7]