ThmDex – An index of mathematical definitions, results, and conjectures.
F13485
Formulation 0
Let $\exp$ be the D786: Standard natural complex exponential function.
Let $z \in \mathbb{C}$ be a D1207: Complex number.
Then \begin{equation} \lim_{n \to \infty} \left( 1 + \frac{z}{n} \right)^n = \exp z \end{equation}