Academic Technology, Math, Teaching

An applet for teaching the limit of a sequence

Posted by Dave Richeson on

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

2 Comments

  1. Jason Aubrey says:
    September 26, 2009 at 11:25 am

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

    1. Dave Richeson says:
      September 26, 2009 at 9:36 pm

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

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