Flashcards

Continuity and Differentiability

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Question

What is the definition of continuity for a function ff at a point cc in its domain?

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Answer

A function ff is continuous at a point cc if the limit of the function as xx approaches cc equals the value of the function at cc.

Mathematically: lim⁡x→cf(x)=f(c)\lim_{x \to c} f(x) = f(c)

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