Posted by: Dave Richeson | September 22, 2009

An applet for teaching the limit of a sequence

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

The limit of a sequence (a_n)_{n=1}^\infty is L (or converges to L) if, given any \varepsilon>0, there exists a natural number N such that |a_n-L|<\varepsilon for all n\ge N.

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.)

Picture 2



  1. 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.


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