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Home › CBSE Class 12 (Commerce) › Mathematics › Continuity and Differentiability › For f to be continuous on [a, b], what must hold…

For f to be continuous on [a, b], what must hold at the endpoint a?

Athe derivative at a is zero
Bf(a) equals f(b) exactly
Cthe left-hand limit equals f(a)
Dthe right-hand limit equals f(a)
Answer & Solution
Correct answer: D. the right-hand limit equals f(a)
Only the interior side of a exists in the interval, so the limit from the right must equal f(a).
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