Example 6.  Let  [Graphics:Images/BigOMod_gr_169.gif]  and  [Graphics:Images/BigOMod_gr_170.gif];  then  [Graphics:Images/BigOMod_gr_171.gif]  with a rate of convergence  [Graphics:Images/BigOMod_gr_172.gif].  

Solution 6.

This follows immediately from the relation

        
[Graphics:../Images/BigOMod_gr_173.gif]   for all n.

[Graphics:../Images/BigOMod_gr_174.gif]


[Graphics:../Images/BigOMod_gr_175.gif]

[Graphics:../Images/BigOMod_gr_176.gif]

[Graphics:../Images/BigOMod_gr_177.gif]

[Graphics:../Images/BigOMod_gr_178.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004