Find the power series expansions for the following functions

Last updated: 7/21/2022

Find the power series expansions for the following functions and specify for which x-values the expansion is valid. (a) f(x) 1 x Hint: Rewrite 1 x = 1 1 - (1 - x) (b) f(x) = 1 1 - 4x² (c) f(x) = x 2-x