Example 19.  Find the Maclaurin polynomial for  [Graphics:Images/TaylorPolyMod_gr_622.gif] expanded about  [Graphics:Images/TaylorPolyMod_gr_623.gif].  
Solution 19.

[Graphics:../Images/TaylorPolyMod_gr_624.gif]


[Graphics:../Images/TaylorPolyMod_gr_625.gif]

[Graphics:../Images/TaylorPolyMod_gr_626.gif]

[Graphics:../Images/TaylorPolyMod_gr_627.gif]

[Graphics:../Images/TaylorPolyMod_gr_628.gif]

[Graphics:../Images/TaylorPolyMod_gr_629.gif]

[Graphics:../Images/TaylorPolyMod_gr_630.gif]

[Graphics:../Images/TaylorPolyMod_gr_631.gif]

[Graphics:../Images/TaylorPolyMod_gr_632.gif]

Animation 18.  ( Maclaurin Polynomial  Maclaurin Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004