Example 10.  Find the Taylor polynomial for  [Graphics:Images/TaylorPolyMod_gr_501.gif] expanded about  [Graphics:Images/TaylorPolyMod_gr_503.gif].  
Solution 10 (b).

[Graphics:../Images/TaylorPolyMod_gr_513.gif]


[Graphics:../Images/TaylorPolyMod_gr_514.gif]

[Graphics:../Images/TaylorPolyMod_gr_515.gif]

[Graphics:../Images/TaylorPolyMod_gr_516.gif]

[Graphics:../Images/TaylorPolyMod_gr_517.gif]

[Graphics:../Images/TaylorPolyMod_gr_518.gif]

[Graphics:../Images/TaylorPolyMod_gr_519.gif]

[Graphics:../Images/TaylorPolyMod_gr_520.gif]

[Graphics:../Images/TaylorPolyMod_gr_521.gif]

Animation 6.  ( Taylor Polynomial  Taylor Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004