Example 9.  Find the Taylor polynomial for  [Graphics:Images/TaylorPolyMod_gr_480.gif] expanded about [Graphics:Images/TaylorPolyMod_gr_482.gif].  
Solution 9 (b).

[Graphics:../Images/TaylorPolyMod_gr_492.gif]


[Graphics:../Images/TaylorPolyMod_gr_493.gif]

[Graphics:../Images/TaylorPolyMod_gr_494.gif]

[Graphics:../Images/TaylorPolyMod_gr_495.gif]

[Graphics:../Images/TaylorPolyMod_gr_496.gif]

[Graphics:../Images/TaylorPolyMod_gr_497.gif]

[Graphics:../Images/TaylorPolyMod_gr_498.gif]

[Graphics:../Images/TaylorPolyMod_gr_499.gif]

[Graphics:../Images/TaylorPolyMod_gr_500.gif]

Animation 5.  ( Taylor Polynomial  Taylor Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004