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A function that is continuous at a point may still fail to be:

ADifferentiable
BDistinguishable
CDistributable
DDiminishable
Answer & Solution
Correct answer: A. Differentiable
1. A sharp corner has no single tangent. 2. Continuity alone is not enough. 3. So it may fail to be differentiable. _Source: OpenStax Calculus Volume 1, Chapter 3, Derivatives._
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