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%%  A DANTE-Edition example
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%%  Beispiel 06-00-39 auf Seite 204.
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% Show page(s) 1

\documentclass[]{article}
\pagestyle{empty}
\setlength\textwidth{355.65944pt}
\usepackage[utf8]{inputenc}
\usepackage[ngerman]{babel}

\usepackage{numprint,spreadtab}

\begin{document}
\begin{minipage}[t]{0.45\linewidth}\vspace{0pt}
\[\forall x\in \mathbf{R}\qquad e^x=\sum_{k=0}^\infty\frac{x^k}{k!}\]
Die nebenstehende Tabelle zeigt die Konvergenz für $x=0.5$.
\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}{Konvergenz für $x={\numprint{:={0.5}}}$}\\[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}