6.2. Continuous Functions

Definition 6.2.2: Continuity

A function is continuous at a point c in its domain D if: given any > 0 there exists a > 0 such that if x D and | x - c | < then | f(x) - f(c) | < .

A function is continuous in its domain D if it is continuous at every point of its domain.

This, like many epsilon-delta definitions and arguments, is not easy to understand. Click on the Java icon to see an applet that tries to illustrate the definition.

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