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Theorem 1:

THEOREM 1

f is continuous at c if and only if

limx→c f(x) = f(c).

As an application, we have a set of rules for combining continuous functions. They can be proved either by the corresponding rules for limits (Table 3.3.1 in Section 3.3) or by computing standard parts.
Home Continuous Functions Continuity Theorem 1:

Last Update: 2006-11-05