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Continuity

Continuity is an important concept in calculus that describes whether a function behaves smoothly without any breaks, jumps, or gaps at a particular point. A function is said to be continuous if the value of the function at a point is equal to the limit of the function as the variable approaches that point. Continuity helps students understand the behavior of functions and is closely related to the concept of limits. It is also a fundamental concept required for studying differentiation and integration in calculus.

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