Question #231375

1) Is the function f(z)={[Rez-lmz]²/|z|² ,z≠0 ;0 ,z=0 Continuous at z=0?

Expert's answer

Converse of CR relations: "f = u + iv" be defined on"Br(z_0)" such that ux,uy,vx,vy exist on"Br(z_0)" and are continuous at"\\space z_0" . If u and v satisfies CR equations then"f\u2032(z_0)" exist and"f\u2019 = ux + iv"

hence the given function with the constant “z” is also continuous at the z=0

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