Example 6.  Find the Taylor polynomial for  [Graphics:Images/TaylorPolyMod_gr_427.gif] expanded about  [Graphics:Images/TaylorPolyMod_gr_428.gif].  
Solution 6 (a).

[Graphics:../Images/TaylorPolyMod_gr_431.gif]


[Graphics:../Images/TaylorPolyMod_gr_432.gif]

[Graphics:../Images/TaylorPolyMod_gr_433.gif]

[Graphics:../Images/TaylorPolyMod_gr_434.gif]

[Graphics:../Images/TaylorPolyMod_gr_435.gif]

[Graphics:../Images/TaylorPolyMod_gr_436.gif]

[Graphics:../Images/TaylorPolyMod_gr_437.gif]

[Graphics:../Images/TaylorPolyMod_gr_438.gif]

[Graphics:../Images/TaylorPolyMod_gr_439.gif]

Animation 1.  ( Taylor Polynomial  Taylor Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004