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Mathematics LibreTexts

4: Continuity and the Power Chain Rule

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Where are we going?

We require the concept of continuity of a function.

The key to understanding continuity is to understand discontinuity. A continuous function is simply a function that has no discontinuity.

The function F whose is graph shown in below is not continuous. It has a discontinuity at the abcissa, a. There are values of x close to a for which F(x) is not close to F(a). F is continuous at all points except a, but F is still said to be discontinuous. In this game, one strike and you are out.

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4: Continuity and the Power Chain Rule is shared under a CC BY-NC-ND license and was authored, remixed, and/or curated by LibreTexts.

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