Prove that for f: C2 E Cand z0 E', limz+z0 f(z) exists if and...

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Prove that for f: C2 E → Cand z0 € E', limz+z0 f(z) exists if and only if lim 0+0+ diam(f(Dō(z0) n E \ {z0}}) = 0. = Prove that for f: C2 E → Cand z0 € E', limz+z0 f(z) exists if and only if lim 0+0+ diam(f(Dō(z0) n E \ {z0}}) = 0. =

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To prove this statement we will use the definition of a limit and some basic properties of d... View the full answer