Answer to Question #236275 in Chemical Engineering for Lok

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?


1
Expert's answer
2021-09-24T02:14:28-0400

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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