Answer to Question #49961 in Complex Analysis for lale

Question

Find Sum of power series ,then answer the questions
1- series from 1 to infinity of [ {(-1)^(n+1)} .{ n} . { (z-1)^n} ] indicate the convergence nhd (neighborhood).

is series from 1 to infinity of [ n. {(1-4i)^n} convergent if yes compute its sum