Definition:Exponential Function/Complex/Limit of Sequence

Definition
Let $\exp: \C \to \C \setminus \left\{ {0}\right\}$ denote the (complex) exponential function. The exponential function can be defined as a limit of a sequence:


 * $\displaystyle \exp z := \lim_{n \to \infty} \left({1 + \dfrac z n}\right)^n$

The complex number $\exp z$ is called the exponential of $z$.

Also see

 * Equivalence of Definitions of Complex Exponential Function