Test Academy | What is the mathematical expression for the definition of continuity? limₓ→𝒸⁡f(x) = f(c) ∀ c ∈ a, limₓ→𝒸f(x) = f(c) ∀ c ∈ (a,b), limₓ→𝒸f(x) = f(c) ∀ c ∈ b, limₓ→ₐ⁡f(x) = f(c) ∀ c ∈ (a,b)

Question

What is the mathematical expression for the definition of continuity?

Options :

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

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