1. let s = {z e c: |z| < 2} and let t denotes the boundary of s. find interior points, exterior points, boundary points and accumulation points of t. does there

1. Let S = {z E C: |z| < 2} and let T denotes the boundary of S. Find interior points, exterior points, boundary points and accumulation points of T. Does there exists a sequence (z7) in T such that the series n=1 converges? Justify your answer. Expand the function 1/(2- z) into the Maclaurin series valid in the diskS. If f: S >T is a function such that f is analytic everywhere in S, prove that f is constant throughout S. If g: C > T is an entire function, prove that g is constant throughout the complex plane.