Question: Please solve this complex analysis problem. (2) Prove the following two definitions for continuity at a point are equivalent: Consider a function f : 0

Please solve this complex analysis problem.

(2) Prove the following two definitions for continuity at a point are equivalent: Consider a function f : 0 - C and a point zo E 2. . We say f is continuous at Zo, if for any e > 0, there exists some o > 0 so that any z E n with |z - zo| z as n - 0, there is f(zn) > f(Zo) as n + 0

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