diff --git a/ws2019/ana/lectures/analysis.pdf b/ws2019/ana/lectures/analysis.pdf index 00f6372..460f0b0 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 3f87343..992b955 100644 --- a/ws2019/ana/lectures/analysis18.tex +++ b/ws2019/ana/lectures/analysis18.tex @@ -137,7 +137,7 @@ \begin{proof} Restgliedabschätzung von $\exp(x)$ gilt auch für komplexe $z \in \mathbb{C}$ \[ - (|R_{n+1}(z)| \le 2 \frac{|z|^{N+1}}{(N+1)!} + |R_{n+1}(z)| \le 2 \frac{|z|^{N+1}}{(N+1)!} .\] Damit folgt für eine Nullfolge in $\mathbb{C}$ ($z_n \to 0, n \to \infty, z_n \in \mathbb{C}$ ) \\ $\implies \exp(z_n) \to \exp(0) = 1, n \to \infty$