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Math Help - please help me

  1. #1
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    please help me

    show that    \lim _ { z \to 0 } f(z) does not exist where :
    (1)   f(z)=   \frac {Re z}{z} : Z \neq  0   \downarrow    <br />
   (2)  0 :z=0   <br /> <br />
      by definition {i know how i solve it by CR equations }
    Last edited by flower3; July 16th 2009 at 01:20 AM.
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  2. #2
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    \frac{{\text{Re} (z)}}{z} = \frac{{x^2  - xyi}}{{x^2  + y^2 }}
    Now use polar substitution.
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