13. Show that the following series represent analytic functions in the given domain, and find their derivatives. 1 (a) ) b (z 2). 22 - 2 mal n=1 14. Suppose f(2) and g(2) are analytic in a simply connected domain D. 3-5 Example 8.19. For example, Ex=13-" sin(nz) represents an analytic func- tion in the strip Im z