Example 6.  Find the Taylor polynomial for  [Graphics:Images/TaylorPolyMod_gr_427.gif] expanded about [Graphics:Images/TaylorPolyMod_gr_429.gif].  
Solution 6 (b).

[Graphics:../Images/TaylorPolyMod_gr_440.gif]


[Graphics:../Images/TaylorPolyMod_gr_441.gif]

[Graphics:../Images/TaylorPolyMod_gr_442.gif]

[Graphics:../Images/TaylorPolyMod_gr_443.gif]

[Graphics:../Images/TaylorPolyMod_gr_444.gif]

[Graphics:../Images/TaylorPolyMod_gr_445.gif]

[Graphics:../Images/TaylorPolyMod_gr_446.gif]

[Graphics:../Images/TaylorPolyMod_gr_447.gif]

[Graphics:../Images/TaylorPolyMod_gr_448.gif]

Animation 2.  ( Taylor Polynomial  Taylor Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004