Hypnotic1778 Hypnotic1778 14-04-2024 Mathematics Answered [Complex analysis] How to prove this: Let A subset of C and z0 in A. If z0 is an accumulation point of A, then a function f:A to C is continuous in z0 if, and only if, lim_{z to z0}f(z) exists and is equal to f(z0).