Example 4.  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 4.

Investigate the    behavior in the following table of values.

Step h	EB1[h]
h = 0.08	0.0021333333
h = 0.04	0.0005333333
h = 0.02	0.0001333333
h = 0.01	0.0000333333

Investigate the    behavior in the following graphs.

(c) John H. Mathews 2004