4: Continuity and the Power Chain Rule
- Page ID
- 36858
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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.
