1. ## limits,complex numbers

Could anybody help me with this limit please?
I have to prove :

$
\lim_{n \to \infty} (1+z/n)^n = e^z ,\ z=x+iy
$

2. Originally Posted by sidi
Could anybody help me with this limit please?
I have to prove :

$
\lim_{n \to \infty} (1+z/n)^n = e^z ,\ z=x+iy
$

Since this one of the definitions of the exponential function, we need to ask what definition of $e^z$ you have to work with?