Example 18.  Find the Maclaurin polynomial for  [Graphics:Images/TaylorPolyMod_gr_611.gif] expanded about  [Graphics:Images/TaylorPolyMod_gr_612.gif].  
Solution 18.

[Graphics:../Images/TaylorPolyMod_gr_613.gif]


[Graphics:../Images/TaylorPolyMod_gr_614.gif]

[Graphics:../Images/TaylorPolyMod_gr_615.gif]

[Graphics:../Images/TaylorPolyMod_gr_616.gif]

[Graphics:../Images/TaylorPolyMod_gr_617.gif]

[Graphics:../Images/TaylorPolyMod_gr_618.gif]

[Graphics:../Images/TaylorPolyMod_gr_619.gif]

[Graphics:../Images/TaylorPolyMod_gr_620.gif]

[Graphics:../Images/TaylorPolyMod_gr_621.gif]

Animation 17.  ( Maclaurin Polynomial  Maclaurin Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004