For the power series (-1)n+(x - 2)" n2n , determine the radius of convergence and interval of convergence. n=1For the power series n!xn (2n)! determine the radius of convergence and interval of convergence. n=11 Problem 3. Determine a power series representation of the function f (x) = _2 _ 3x centered at -1. Write your answer in summation form, or give the first four nonzero terms of the series. In addition, determine the interval of convergence