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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.

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## 1 answer

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I am not sure i understand you question since you gave two fixed values to x and x1. If you want to find the limit of the function some_function = (z -> z*z1) when z goes to z1, you can define a symbolic function (not to be confused with a python function) :

sage: z1 = 3 + 4*I
sage: some_function(z) = z * z1
sage: some_function
z |--> (4*I + 3)*z
sage: some_function.limit(z=z1)
24*I - 7

more

## Comments

Thank you!

( 2013-11-09 05:27:52 -0500 )edit

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Asked: 2013-11-08 09:03:01 -0500

Seen: 415 times

Last updated: Nov 08 '13