Find the center and the radius of convergence. (-1)" (2)! 4"(z + 1) n=0 M M M IMS IMB (2 ) n! n ( n 2i)n (1)"n 8 (-1)^ 2 22n(n!)2 + (3)! 2^(n!)3 z" m n=0 n=0 n=0 n=0 n=1 n(n 1) 3 2 - i 1 + 5i 16"(z + i)4n n=0 2n n(n + (z i)2 1) (2)! 4" (n!) (z - 2i)n ( TT 2 2 2n+1 2 Find the Maclaurin series and its radius of convergence. sin 2z z +2 1 2 + z COS 4 21/12 2 2 [*exp(-1) 2 a dt 1 2 1 1 + 3iz sin z exp (2) [ exp (-1) dt Where does the power series converge uniformly? Give reason. (+3) (z + i)2n 1 3n n=0 n=0 n=0 n=2 3 (1 n i) - n! (z i) - (4z + 2i)n