diff --git a/ws2019/ana/lectures/analysis.pdf b/ws2019/ana/lectures/analysis.pdf
index 3f126d9..3e6f0d7 100644
Binary files a/ws2019/ana/lectures/analysis.pdf and b/ws2019/ana/lectures/analysis.pdf differ
diff --git a/ws2019/ana/lectures/analysis18.tex b/ws2019/ana/lectures/analysis18.tex
index f38d4e5..2f91bec 100644
--- a/ws2019/ana/lectures/analysis18.tex
+++ b/ws2019/ana/lectures/analysis18.tex
@@ -166,7 +166,7 @@
         \item $\sin x - \sin y = 2 \cos\left( \frac{x+y}{2} \right)
             \cdot \sin\left( \frac{x - y}{2} \right) $ \\
             $\cos x - \cos y = - 2 \cdot \sin \left( \frac{x+y}{2} \right) \cdot 
-            \sin \left( \frac{x - \frac{y}{2}}{} \right)$
+            \sin \left( \frac{x - y}{2} \right)$
     \end{enumerate} 
 \end{satz}
 
diff --git a/ws2019/ana/lectures/analysis20.tex b/ws2019/ana/lectures/analysis20.tex
index 73590db..b11eee5 100644
--- a/ws2019/ana/lectures/analysis20.tex
+++ b/ws2019/ana/lectures/analysis20.tex
@@ -221,7 +221,7 @@
             .\end{align*}
             mit
             \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
             .\end{align*}
         \item Sinus / Cosinus.