Math 22 Continuity
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Informally, a function is continuous at means that there is no interruption in the graph of at .
Definition of Continuity
Let be a real number in the interval , and let be a function whose domain contains the interval . The function is continuous at when
these conditions are true.
1. is defined. 2. exists. 3. If is continuous at every point in the interval , then is continuous on the open interval .
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