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 Math Help > Calculus > Limit > Continuous

## Definition of "Continuous Function"

Recall the definition of a limit:  means given any positive real number, ε, there exists a positive real number, δ, such that

A function, f, is continuous on the open interval (a,b) means for all c in (a,b).

A function, f, is continuous on the closed interval [a,b] means f is continuous on (a,b) and ,   and .

### Related pages in this website

Calculus Theorems -- important facts about continuous functions

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