|
|
|
Viewing Version
3
of
'sum of series'
|
[ view 'sum of series'
|
back to history
]
| Title of object: |
sum of series |
| Canonical Name: |
SumOfSeries |
| Type: |
Definition |
| Created on: |
2004-11-18 16:44:50 |
| Modified on: |
2004-11-24 06:36:02 |
| Classification: |
msc:40-00 |
Preamble:
% this is the default PlanetMath 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 |
Content:
If a series $\sum_{n = 1}^\infty a_n$ of real or complex numbers is convergent and the limit of its partial sums is $S$, then $S$ is the {\em sum of the series}.
The sum of the series is equal to the sum of a partial sum and the corresponding remainder term. |
|
|
|
|
|
