Example 6.  Find the Taylor polynomial for  [Graphics:Images/TaylorPolyMod_gr_427.gif] expanded about [Graphics:Images/TaylorPolyMod_gr_430.gif].  
Solution 6 (c).

[Graphics:../Images/TaylorPolyMod_gr_449.gif]


[Graphics:../Images/TaylorPolyMod_gr_450.gif]

[Graphics:../Images/TaylorPolyMod_gr_451.gif]

[Graphics:../Images/TaylorPolyMod_gr_452.gif]

[Graphics:../Images/TaylorPolyMod_gr_453.gif]

[Graphics:../Images/TaylorPolyMod_gr_454.gif]

[Graphics:../Images/TaylorPolyMod_gr_455.gif]

[Graphics:../Images/TaylorPolyMod_gr_456.gif]

[Graphics:../Images/TaylorPolyMod_gr_457.gif]

Animation 3.  ( Taylor Polynomial  Taylor Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004