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Thread: please help me

  1. #1
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    please help me

    show that $\displaystyle \lim _ { z \to 0 } f(z) $ does not exist where :
    $\displaystyle (1) f(z)= \frac {Re z}{z} : Z \neq 0 \downarrow
    (2) 0 :z=0

    $ by definition {i know how i solve it by CR equations }
    Last edited by flower3; Jul 16th 2009 at 01:20 AM.
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  2. #2
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    $\displaystyle \frac{{\text{Re} (z)}}{z} = \frac{{x^2 - xyi}}{{x^2 + y^2 }}$
    Now use polar substitution.
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