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Limit of complex functions

Hi,

Suppose I have 2 complex numbers, z and z1 , where z = 1+2I and z1 = 3 + 4I (just an example). How can I compute the following: some_function = z * z1 and I want to know how to find the limit of some_function when z = z1.

I tried hard to find an answer. I used def to define a function, I could define the complex numbers and I can use the limit with rational / real values, but, when I use a complex number, the limit just return the entire explession.

Thank you for any idea / URL to help me.