# Thread: Complex analysis: Show limit of complex function does not exist.

1. ## Complex analysis: Show limit of complex function does not exist.

Hi there,

I was hoping someone could help me with this one.

I have a function of a complex variable, and I'm trying that the function is not differentiable at 0. i.e. f ' (0) does not exist.

I know I need to show that the limit does not exist at this point but I'm getting nowhere I'm afraid.

The function is as follows:

$f(z)=(conj.z)^2/z$

by conj. of z I mean the complex conjugate.

Thank you,

Wayne.

2. Originally Posted by waynex
Hi there,

I was hoping someone could help me with this one.

I have a function of a complex variable, and I'm trying that the function is not differentiable at 0. i.e. f ' (0) does not exist.

I know I need to show that the limit does not exist at this point but I'm getting nowhere I'm afraid.

The function is as follows:

$f(z)=(conj.z)^2/z$

by conj. of z I mean the complex conjugate.

Thank you,

Wayne.
Use different paths and see what you get.