## Sunday, February 27, 2011

### Epsilon-delta definition

The $e\psilon-\delta$ definition states that the limit of $f(x) = L$ as $x$ approaches $a$ if for all $\epsilon > 0$, there exists a $\delta > 0$, such that if $|x-a| < \delta$, then $|f(x) - L| < \epsilon$. The applet below courtesy of Sylvain Berube, shows its geometric interpretation.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)