$\displaystyle f(z)=\frac{z^{5}}{|z|^{4}} , f(0)=0 $

Show the real and imaginary parts of f satisfy the Cauchy-Riemann, and f is not differentiable.

i show the first part, but i think if Cauchy-Riemann is satisfied, then f is differentiable?

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- Jan 30th 2009, 03:28 AMszpengchaohow to show this complex function not differentiable
$\displaystyle f(z)=\frac{z^{5}}{|z|^{4}} , f(0)=0 $

Show the real and imaginary parts of f satisfy the Cauchy-Riemann, and f is not differentiable.

i show the first part, but i think if Cauchy-Riemann is satisfied, then f is differentiable? - Jan 30th 2009, 04:45 PMawkward