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A function f is continuous at x = c when f(c) equals which quantity?
Athe limit of f(x) as x nears c
Bthe derivative value f'(c) at c
Cthe mean of f over [c, c + 1]
Dthe value of f at c + 1 exactly
Answer & Solution
Correct answer: A. the limit of f(x) as x nears c
Continuity at c means f is defined there and its value equals the limit of f(x) as x approaches c.
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