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Definition of Limit of Complex Function
Let A be a subset of the set of all complex numbers ℂ and z0 be an accumulation point of set A. The limit of a function f : A → ℂ as z approaches z0 is L (denoted ) if for all 𝜀 > 0 there exists 𝛿 > 0 such that if z ∈ A and |z - z0| < 𝛿 then |f(z) - L| < 𝜀.
) if for all 𝜀 > 0 there exists 𝛿 > 0 such that if z ∈ A and |z - z0| < 𝛿 then |f(z) - L| < 𝜀.
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