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## Homework Statement

Let f denote the function defined by

f(z)=

_z^2 /z if z is not 0

0 if z=0

show that f satisfies the Cauchy-Riemann equations at z=0 but that f is not differentiable there

## Homework Equations

## The Attempt at a Solution

it is easily to show the function satisfies Cauchy-Riemann equations

but how to show it is not differentiable

can i show f'(0) does not exist when z tends to 0 ?