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%%
%% A DANTE-Edition example
%%
%% Example 06-00-39 on page 204.
%%
%% 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[]{article}
\pagestyle{empty}
\setlength\textwidth{375.57637pt}
\usepackage[utf8]{inputenc}
\usepackage[english]{babel}
\usepackage{numprint,spreadtab}
\begin{document}
\begin{minipage}[t]{0.45\linewidth}\vspace{0pt}
\[\forall x\in \mathbf{R}\qquad e^x=\sum_{k=0}^\infty\frac{x^k}{k!}\]
The adjacent table shows the convergence for $x=0.5$.
\end{minipage}\hfill
\begin{minipage}[t]{0.45\linewidth}\vspace{0pt}
\STautoround{15}
\begin{spreadtab}[\STsavecell\xvalue{a1}]{{tabular}{cN{2}{15}}}
\multicolumn{2}{c}{convergence for $x={\numprint{:={0.5}}}$}\\[1.5ex]
@$n$ & e^a1\SThidecol & {@
$\displaystyle e^{\numprint\xvalue}-\sum_{k=0}^n
\frac{\numprint\xvalue^k}{k!}$}\\[3ex]\hline
0 & a1^[-1,0]/fact([-1,0]) & b2-[-1,0] \\
[0,-1]+1 & a1^[-1,0]/fact([-1,0])+[0,-1] & b2-[-1,0] \\
[0,-1]+1 & a1^[-1,0]/fact([-1,0])+[0,-1] & b2-[-1,0] \\
[0,-1]+1 & a1^[-1,0]/fact([-1,0])+[0,-1] & b2-[-1,0] \\
[0,-1]+1 & a1^[-1,0]/fact([-1,0])+[0,-1] & b2-[-1,0] \\
[0,-1]+1 & a1^[-1,0]/fact([-1,0])+[0,-1] & b2-[-1,0] \\
[0,-1]+1 & a1^[-1,0]/fact([-1,0])+[0,-1] & b2-[-1,0] \\
[0,-1]+1 & a1^[-1,0]/fact([-1,0])+[0,-1] & b2-[-1,0] \\
[0,-1]+1 & a1^[-1,0]/fact([-1,0])+[0,-1] & b2-[-1,0] \\
[0,-1]+1 & a1^[-1,0]/fact([-1,0])+[0,-1] & b2-[-1,0] \\\hline
\end{spreadtab}
\end{minipage}
\end{document}
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