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Which statement on differentiability and continuity is true?
ADifferentiable implies continuous
BThe two ideas are unconnected
CContinuous implies differentiable
DDifferentiable implies discontinuous
Answer & Solution
Correct answer: A. Differentiable implies continuous
If the limit defining f'(a) exists, then f(a + h) - f(a) tends to 0, so f is continuous at a.
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