## Mathematical Analysis## Calculus Basics |

## What does continuous and discontinuous mean in calculus? |

When talking about polynomial functions, we know that a polynomial function *P*(*x*) satisfies the limit function:

in which *a* represents all real numbers. This is called continuity.

But if *f(x)* is a function on an interval around *a*, then *f(x)* is continuous at *a* iff (see below for the definition of “iff”):

if it is not, then *f(x)* is called discontinuous at *a.*