10.1: Power Series and Functions

Last updated Save as PDF Page ID2569Gilbert Strang & Edwin “Jed” HermanOpenStax\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\)\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)\( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)\( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)\( \newcommand{\Span}{\mathrm{span}}\)\( \newcommand{\id}{\mathrm{id}}\)\( \newcommand{\Span}{\mathrm{span}}\)\( \newcommand{\kernel}{\mathrm{null}\,}\)\( \newcommand{\range}{\mathrm{range}\,}\)\( \newcommand{\RealPart}{\mathrm{Re}}\)\( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)\( \newcommand{\Argument}{\mathrm{Arg}}\)\( \newcommand{\norm}[1]{\| #1 \|}\)\( \newcommand{\inner}[2]{\...