Continuity on a closed interval [π‘Ž,𝑏] requires continuity on the open interval (π‘Ž,𝑏), π‘™π‘–π‘š[π‘₯β†’π‘ŽβΊ]𝑓(π‘₯) = 𝑓(π‘Ž) and π‘™π‘–π‘š[π‘₯→𝑏⁻]𝑓(π‘₯) = 𝑓(𝑏)

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