Example 11.  Find the Taylor polynomial for  [Graphics:Images/TaylorPolyMod_gr_522.gif] expanded about  [Graphics:Images/TaylorPolyMod_gr_524.gif].  
Solution 11 (b).

[Graphics:../Images/TaylorPolyMod_gr_534.gif]


[Graphics:../Images/TaylorPolyMod_gr_535.gif]

[Graphics:../Images/TaylorPolyMod_gr_536.gif]

[Graphics:../Images/TaylorPolyMod_gr_537.gif]

[Graphics:../Images/TaylorPolyMod_gr_538.gif]

[Graphics:../Images/TaylorPolyMod_gr_539.gif]

[Graphics:../Images/TaylorPolyMod_gr_540.gif]

[Graphics:../Images/TaylorPolyMod_gr_541.gif]

[Graphics:../Images/TaylorPolyMod_gr_542.gif]

Animation 7.  ( Taylor Polynomial  Taylor Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004