Continuous
Revision as of 15:25, 24 September 2007 by Valentin Vornicu (talk | contribs) (New page: A property of a function. Definition. A function <math>f: I\to\mathbb R</math>, where <math>I</math> is a real interval, is continuous in the point <math>a\in I</math>, if fo...)
A property of a function.
Definition. A function 
, where 
is a real interval, is continuous in the point 
, if for any 
there exists a number 
(depending on 
) such that for all 
we have 
.
A function is said to be continuous on an interval if it is continuous in each of the interval's points.
An alternative definition using limits is 
.
