Let f(z) be a function from \mathbb{C} to \mathbb{C} and z_0\in \mathbb{C} . Which of the following statements is/are true?

Question

Let f(z) be a function from   \mathbb{C}  to   \mathbb{C}  and   z_0\in \mathbb{C} . Which of the following statements is/are true?

Answer

If   f(z_0)  or   \ lim_{z	o z_0}f(z)  does not exist then   f  is discontinuous at   z_0 .

Answer

If   \lim_{z	o z_0}f(z)=2025  then   f  is discontinuous at   z_0 .

Answer

If   f(z_0)  does not exist then   f  is discontinuous at   z_0 .

Answer

If   \lim_{z	o z_0}f(z)  does not exist then   f  is discontinuous at   z_0 .

Answer

If   \lim_{z	o z_0}f(z)=2025  then   f  can be continuous at   z_0 .

Answer

If   f(z)  is discontinous at   z_0  then   \lim_{z	o z_0}f(z)  does not exist.

Answer

If   f(z)  is discontinuous at   z_0  then   f(z_0)  does not exist.

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