<?xml version="1.0" encoding="UTF-8"?>

<record version="7" id="1018">
 <title>power series</title>
 <name>PowerSeries</name>
 <created>2025-07-13 17:15:11</created>
 <modified>2025-07-13 20:46:44</modified>
 <type>Definition</type>
 <creator id="1" name="bloftin"/>
 <modifier id="1" name="bloftin"/>
 <author id="1" name="bloftin"/>
 <classification>
	<category scheme="msc" code="02."/>
	<category scheme="msc" code="02.30.Lt"/>
 </classification>
 <related>
	<object name="MaclaurinSeries"/>
 </related>
 <preamble>% this is the default PhysicsLibrary preamble.  as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.

% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}

% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}

% there are many more packages, add them here as you need them

% define commands here</preamble>
 <content>In mathematics, a power series (in one variable) is an infinite series of the form 

\begin{equation}
 \sum _{m=0}^{\infty }c_{m}\left(x-a\right)^{m}=c_{0}+c_{1}(x-a)+c_{2}(x-a)^{2}+\dots
\end{equation}</content>
</record>
