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Prove that if a function is differentiable at a point then it is also continuous at that point

Prove that if a function is differentiable at a point then it is also continuous at that point This video explains the proof of theorem - If a function is differentiable at a point then it is also continuous at that point.

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If a function is differentiable then it is continuous,if a function is differentiable then it must be continuous,if a function is differentiable at a point then it is also continuous at that point,

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