Let $z \in \mathbb{C}$. We set $z = a + ib$, where $a, b \in \mathbb{R}$. Deduce that $$\lim_{n \rightarrow \infty} \left(1 + \frac{z}{n}\right)^n = e^z$$
Let $z \in \mathbb{C}$. We set $z = a + ib$, where $a, b \in \mathbb{R}$.
Deduce that
$$\lim_{n \rightarrow \infty} \left(1 + \frac{z}{n}\right)^n = e^z$$