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    Comples Variables : Limits

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    5. Show that the limit of the function

    _
    f (z) = ( z / z )2

    as z tends to 0 does not exist. Do this by letting nonzero points z = (x, 0) and z = (x, x) approach the origin. (Note that it is not sufficient to simply consider points z = (x, 0) and z =(0, y).

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    5. Show that the limit of the function

    _
    f (z) = ( z / z )2

    as z tends to 0 does not exist. Do this by letting nonzero points z = (x, 0) and z = (x, x) approach the origin. (Note that it is not sufficient to simply consider points z = (x, 0) and z =(0, y).

    Solution:

    When we deal with complex functions and complex variables, we have to take into account ...

    Solution Summary

    Limits are investigated for complex variables.

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