# Math Help - simple complex limti proof

1. ## simple complex limti proof

I'm having difficulty showing that:

$\lim_{z \leftarrow z_o} \text{Re}\ (z) = \text{Re}\ (z_0)$

it just seems like an obvious

2. Originally Posted by lllll
I'm having difficulty showing that:

$\lim_{z \leftarrow z_o} \text{Re}\ (z) = \text{Re}\ (z_0)$

it just seems like an obvious
You have to show that for all $\varepsilon > 0$ there exists a $\delta>0$, such that whenever:

$|z-z_0|<\delta$

then

$| {\rm{Re}}(z) - {\rm{Re}}(z_0)|<\varepsilon$

(In this case $\delta=\varepsilon$ will do which is perhaps why this seems obvious)

RonL