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.




















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Grapher

Instruction: Type the Equation a function in the text box and click the Graph button to graph the function. The step by step in creating this applet can be viewed here.




















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f(x) =

Rotation and Area Relationship

1. ABCD' is a square. What shape is IJKL? Justify your answer.
2. What is the relationship between the area of ABCD' and IJKL?
3. Move slider α to the extreme right to verify your answer.

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

St. Valentin

Happy Valentines Everyone. Here's an excellent applet created with GeoGebra.

This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com

Courtesy of Daniel Mentrard. Ggb file can be downloaded here.