Consider the function f(z)=\overline{z} . Which of the following statements is/are true?

Question

Consider the function   f(z)=\overline{z} . Which of the following statements is/are true?

Answer

f(z)  is nowhere analytic.

Answer

There exists   z_0\in\mathbb{C}  such that   f(z)  is continuous at   z_0 .

Answer

None of the others.

Answer

There exists   z_0\in\mathbb{C}  such that   f(z)  is differentiable at   z_0 .

Answer

f(z)  is discontinuous at   0 .

Answer

There exists   z_0\in\mathbb{C}  such that   f(z)  is analytic at   z_0 .

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