## 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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