Null Sequence in Exponential Sequence

Theorem
Let $\sequence {a_n}_{n \mathop \in \N} \in \C$ be a sequence of complex numbers such that:
 * $\displaystyle \lim_{n \mathop \to +\infty}a_n = 0$

Then:
 * $\displaystyle \lim_{n \mathop \to +\infty} \paren {1 + \dfrac {a_n} n}^n = 1$