Example 9.  Find the Taylor polynomial for  [Graphics:Images/TaylorPolyMod_gr_480.gif] expanded about  [Graphics:Images/TaylorPolyMod_gr_481.gif].  
Solution 9 (a).

[Graphics:../Images/TaylorPolyMod_gr_483.gif]


[Graphics:../Images/TaylorPolyMod_gr_484.gif]

[Graphics:../Images/TaylorPolyMod_gr_485.gif]

[Graphics:../Images/TaylorPolyMod_gr_486.gif]

[Graphics:../Images/TaylorPolyMod_gr_487.gif]

[Graphics:../Images/TaylorPolyMod_gr_488.gif]

[Graphics:../Images/TaylorPolyMod_gr_489.gif]

[Graphics:../Images/TaylorPolyMod_gr_490.gif]

[Graphics:../Images/TaylorPolyMod_gr_491.gif]

Animation 4.  ( Taylor Polynomial  Taylor Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004