Exercise 9.  Show that   [Graphics:Images/AnalyticFunctionModHome_gr_266.gif],  where n is a positive integer.  

Solution 9.

See text and/or instructor's solution manual.

Solution.  Apply the quotient rule and get

        [Graphics:../Images/AnalyticFunctionModHome_gr_267.gif]   

We are done.   

Aside.  We can let Mathematica double check our work.

[Graphics:../Images/AnalyticFunctionModHome_gr_268.gif]

[Graphics:../Images/AnalyticFunctionModHome_gr_269.gif]


[Graphics:../Images/AnalyticFunctionModHome_gr_270.gif]

[Graphics:../Images/AnalyticFunctionModHome_gr_271.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 



This solution is complements of the authors.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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