Answered: 1. Use the definition of the derivative…

1. Use the definition of the derivative of complex function to show that f(z) is not differentiable at z = 0 where f(z) = conjugate of z3/ z2 , if z is not equal to 0 and f(z) = 0, if z =0

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.4: Ordered Integral Domains

Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.

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Question

1. Use the definition of the derivative of complex function to show that f(z) is not differentiable
at z = 0 where
f(z) = conjugate of z³/ z² , if z is not equal to 0

and f(z) = 0, if z =0

Expert Solution