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Continuity and Limits

Problems

Defining a Limit

Evaluating Limits

Problem : Let f (x) = 5 , and g(x) = 4 . What is ?

= .

Problem : If f (a) exists, does f (x) exist?

It may exist, and it may not. The existence of a limit at a point is independent of the value of the function at that point (or whether the function is defined).

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