Title: Eigenschaften von e
Course: Latex 004 - Beispiele

$$\displaystyle \begin{array}{l} e \equiv \displaystyle\lim_{x \to \infty} \left(1+\frac{1}{x} \right)^x\\ \\ e = \displaystyle\sum_{k=0}^\infty \frac{1}{k!}\\ \\ \frac{d}{dx}\ (e^x) = e^x\\ \\ e^{ix} = \cos\ x  + i\ \sin\
x\  \text{(Euler)}\\ \\ e^{i \pi} + 1 = 0 \\ \end{array}$$