# Definition:Exponential Function/Complex/Limit of Sequence

Let $\exp: \C \to \C \setminus \set 0$ denote the (complex) exponential function.
$\ds \exp z := \lim_{n \mathop \to \infty} \paren {1 + \dfrac z n}^n$
The complex number $\exp z$ is called the exponential of $z$.