Applet 2.4 :  Definition of Limit

   TESTING A VALUE L TO BE THE LIMIT
   OF A FUNCTION f(x) as x->a.

  1. Choose a function  f(x) .
  2. Choose the value of the point x=a where you want to analyse the limit.
  3. Choose value for L , the limit you want to test.
  4. Click the button' Show the graph.' to see the graph.
  5. Choose a value for epsilon .
  6.  To test whether L is the limit for f(x) as x-> a move the slider bar for delta and try to bring the green strip fully inside the portion of the graph which meets the pink strip. If you are able to do that then the value L in the limit, otherwise it is not.