Solution 13 (a).

See text and/or instructor's solution manual.

Solution 13 (a).   To verify Identity (7-15), let   [Graphics:../Images/TaylorSeriesModHome_gr_708.gif]   for   [Graphics:../Images/TaylorSeriesModHome_gr_709.gif].  

Clearly   [Graphics:../Images/TaylorSeriesModHome_gr_710.gif].  

By Taylor's Theorem,

                    [Graphics:../Images/TaylorSeriesModHome_gr_711.gif]  


Therefore,   [Graphics:../Images/TaylorSeriesModHome_gr_712.gif]   is valid for   [Graphics:../Images/TaylorSeriesModHome_gr_713.gif].  

 

 

  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This solution is complements of the authors.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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