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%%  Ein Beispiel der DANTE-Edition
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%%  Beispiel 09-07-7 auf Seite 443.
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%%  Copyright (C) 2011 Herbert Voss
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\begin{document}
Normaler Text vor der neuen Umgebung.
\begin{Beispiel} Anwendung des Transformationstheorems:
\begin{align*}
 [z^n]C(z) &amp;= [z^n]\biggl[\frac{e^{3/4}}{\sqrt{1-z}}+e^{-3/4}(1-z)^{1/2}+
              \frac{e^{-3/4}}{4}(1-z)^{3/2}+O\Bigl((1-z)^{5/2}\Bigr)\biggr]\\[5pt]
           &amp;= \frac{e^{-3/4}}{\sqrt{\pi n}}-\frac{5e^{-3/4}}{8\sqrt{\pi n^3}}+
              \frac{e^{-3/4}}{128\sqrt{\pi n^5}}+O\biggl(\frac{1}{\sqrt{\pi n^7}}\biggr)
\end{align*}
\end{Beispiel}
\end{document}
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