Question #236275

13)Show that the function f (z)=(z̅ )²/z,z≠0 ;0, z=0 satiesfies Cauchy-Rieman equations at z=0.Does f'(0) exist? Explain the problem with step by step process?

Expert's answer

Consider

When the horizontal line and vertical line approach towards the origin

Then

for horizontal line

for vertical line

as

or z= 0

So f'(0) does not exist when

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