Example 8.  Investigate the behavior of  .  If the step size is reduced by a factor of    then the error bound is reduced by  .  This is the    behavior.

Solution 8.

Investigate the    behavior in the following table of values.

Step h	EB2[h]
h = 0.08	0.0006877801
h = 0.04	0.0001719450
h = 0.02	0.0000429862
h = 0.01	0.0000107465

Investigate the    behavior in the following graphs.

(c) John H. Mathews 2004