Epsilon-Delta Definition of Limit

These animations relate to applying the epsilon-delta definition of limit to

as discussed in Example 8 on page 54 in your text.  The animation on the left zooms in on the point (2,4).  For the epsilon-delta definition of limit to be satisfied for the ever decreasing positive values for epsilon it is necessary for the blue graph of f(x) = x² to remain between the horizontal green lines (between 4 minus epsilon and 4 plus epsilon) whenever the blue graph is between the vertical green lines (between 2 minus delta and 2 plus delta).

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        Lane Vosbury, Mathematics, Seminole State College   email:  vosburyl@seminolestate.edu

        This page was last updated on 08/21/14          Copyright 2002          webstats