What is the mathematical expression for the definition of continuity?

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answerhappygod
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What is the mathematical expression for the definition of continuity?

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a) limx→c⁡f(x) = f(c) ∀ c ∈ a
b) limx→c⁡f(x) = f(c) ∀ c ∈ (a,b)
c) limx→c⁡f(x) = f(c) ∀ c ∈ b
d) limx→a⁡f(x) = f(c) ∀ c ∈ (a,b)
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