Please answer all parts and show work thank you

(a) Use differentiation to find a power series representation for the following function. 1 ( x) = 7 (10 + 1) [(-1) (2+ 1) Toat's (-1) (+ 2) THI S(-1) ( + 1) To47 E(-1) (n - 1) Ton E(-1) (2 + 1) To+2 What is the radius of convergence? R = (b) Use part (a) to find a power series for the following function. (10 + 1) 2 \\(-1)" ( n + 3 ) (n+ 2) (n+ 1) Tom+2 _(-1)" (m + 1)" 10 42 2( n+ 2 ) (n + 1) Touts =E(-1)" (m +2) (n + 1) Tones E(-1)" (" +2) (n +1) TOMFS What is the radius of convergence? R = [ (c) Use part (b) to find a power series for the following function. f (x) = 7 (10 + x) 2(-1)"+1 n (m - 1) 10243 _(-1)" (n -1) TomFT What is the radius of convergence? R =