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Math Help - Complex analysis: Show limit of complex function does not exist.

  1. #1
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    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.

    Any help you can give will be much appreciated.

    Thank you,

    Wayne.
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  2. #2
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    Quote Originally Posted by waynex View Post
    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.

    Any help you can give will be much appreciated.

    Thank you,

    Wayne.
    Use different paths and see what you get.
    Follow Math Help Forum on Facebook and Google+

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