Solution 3 (a).

Solution.  Let  [Graphics:../Images/TaylorLaurentApplicationModHome_gr_151.gif],  then  

                    [Graphics:../Images/TaylorLaurentApplicationModHome_gr_152.gif]   

We are done.   

Aside.  We can let Mathematica double check our work.

[Graphics:../Images/TaylorLaurentApplicationModHome_gr_153.gif]

[Graphics:../Images/TaylorLaurentApplicationModHome_gr_154.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This solution is complements of the authors.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2008 John H. Mathews, Russell W. Howell