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fix some typos

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christian
2020-01-15 11:50:54 +01:00
parent 27c2f60829
commit 568dd6f750
3 changed files with 2 additions and 2 deletions
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ws2019/ana/lectures/analysis.pdf
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ws2019/ana/lectures/analysis18.tex
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@@ -166,7 +166,7 @@
\item $\sin x - \sin y = 2 \cos\left( \frac{x+y}{2} \right) \item $\sin x - \sin y = 2 \cos\left( \frac{x+y}{2} \right)
\cdot \sin\left( \frac{x - y}{2} \right) $ \\ \cdot \sin\left( \frac{x - y}{2} \right) $ \\
$\cos x - \cos y = - 2 \cdot \sin \left( \frac{x+y}{2} \right) \cdot $\cos x - \cos y = - 2 \cdot \sin \left( \frac{x+y}{2} \right) \cdot
\sin \left( \frac{x - \frac{y}{2}}{} \right)$ \sin \left( \frac{x - y}{2} \right)$
\end{enumerate} \end{enumerate}
\end{satz} \end{satz}
ws2019/ana/lectures/analysis20.tex
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@@ -221,7 +221,7 @@
.\end{align*} .\end{align*}
mit mit
\begin{align*} \begin{align*}
e^{h} &= \sum_{k=0}^{\infty} \frac{h^{k}}{k!} = 1 + \frac{h}{2} + \frac{h^2}{3!} + \ldots \\ e^{h} &= \sum_{k=0}^{\infty} \frac{h^{k}}{k!} = 1 + h + \frac{h^2}{2} + \frac{h^{3}}{3!} + \ldots \\
\frac{e^{h} - 1}{h} &= 1 + \frac{h}{2} + \frac{h^2}{3!} + \ldots \xrightarrow{h \to 0} \to 1 \frac{e^{h} - 1}{h} &= 1 + \frac{h}{2} + \frac{h^2}{3!} + \ldots \xrightarrow{h \to 0} \to 1
.\end{align*} .\end{align*}
\item Sinus / Cosinus. \item Sinus / Cosinus.