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.