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Diffstat (limited to 'info/examples/Math-E/10-09-10.ltx')
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diff --git a/info/examples/Math-E/10-09-10.ltx b/info/examples/Math-E/10-09-10.ltx new file mode 100644 index 0000000000..a8c8a4aabf --- /dev/null +++ b/info/examples/Math-E/10-09-10.ltx @@ -0,0 +1,38 @@ +%% +%% An UIT Edition example +%% +%% Example 10-09-10 on page 220. +%% +%% Copyright (C) 2010 Herbert Voss +%% +%% It may be distributed and/or modified under the conditions +%% of the LaTeX Project Public License, either version 1.3 +%% of this license or (at your option) any later version. +%% +%% See http://www.latex-project.org/lppl.txt for details. +%% +%% +%% ==== +% Show page(s) 1 +%% +\documentclass[]{exaarticle} +\pagestyle{empty} +\setlength\textwidth{375.57637pt} +\AtBeginDocument{\setlength\parindent{0pt}} +\setcounter{equation}{31} +\renewcommand\theequation{10.\arabic{equation}} +\StartShownPreambleCommands +\usepackage{amsmath} +\StopShownPreambleCommands +\begin{document} +\begin{align} + \sum_{i=1}^\infty \frac{1}{i} &= 1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4} + +\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\frac{1}{8}+\frac{1}{9} + +\cdots+\frac{1}{16}+\cdots\\ + & \ge 1+\frac{1}{2}+\underbrace{\frac{1}{4}+\frac{1}{4}}_{\frac{1}{2}} + +\underbrace{\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}}_{\frac{1}{2}} + +\underbrace{\frac{1}{16}+\cdots+\frac{1}{16}}_{\frac{1}{2}}+\cdots\\ + &= 1+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\cdots\to\infty + \quad\rule{1ex}{1ex} +\end{align} +\end{document} |