Interactive Real Analysis
- part of Definition 6.2.2: Continuity
A function is continuous at a point c in its
domain D if: given any 
> 0 there exists a
> 0 such that if
x 
D and
| x - c | < then
| f(x) - f(c) | < .
Context
> 0 there exists a
> 0 such that if
x D and
| x - c | < then
| f(x) - f(c) | < .
A function is continuous in its domain D if it is continuous at every point of its domain.
This, like many epsilon-delta definitions and arguments, is
not easy to understand. Click on the Java icon to see an
applet that tries to illustrate the definition.
Context