For the power series: I.) Write out the first four terms of the series sum and give the center of the power series; 2.) Use the Ratio or Root Test to find the Radius of Convergence and the Interval where the power series converges. 3.) Give the power series for the derivative, on what interval does the derivative power series converge? a. b. n=1 n=1 M8 M8 M8 M8 n 10" (x-2)" (-1)+1n n! % (-1)+1 C. n=1 n -(x+3)n -(x-5)" d. (1)" (1)*(n + 1) (z 1)* 5" (x-1)n