a Use differentiation to find a power series representation

Last updated: 4/26/2023

a Use differentiation to find a power series representation for f x f x f x 1 n 1 x 5 2 n 0 What is the radius of convergence R R 5 b Use part a to find a power series for 1 5 x n 0 f x n 2 1 5 x What is the radius of convergence R R 5 1 n 2 n 1 x 5 5 c Use part b to find a power series for x 5 x What is the radius of convergence R R 1 n 2 n 1 x 5 5