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)


  1. Who's Sylvain Bérubé? Belongs to me, lol. Nick B

  2. Nick, could you give me your full name, if you don't mind.

  3. Nicholas Benallo
    I changed my nickname over to MathyNick.

  4. The linear function is draggable. Once the graph is translated vertically, some of the numerical values become unrelated to what is presented graphically.