I’m currently teaching real analysis. Right now we’re discussing limits of sequences. The definition is:

The *limit* of a sequence is (or *converges* to ) if, given any , there exists a natural number such that for all .

I used GeoGebra to create the following applet, which illustrates the definition of a limit. (Clicking on the previous link or the picture below will open the applet in a new window.)

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That is a fantastic GeoGebra applet! I’m sure they would love to see it on the GeoGebra wiki.

Thanks! I didn’t even know about the GeoGebra wiki.