Example 16.  Find the Maclaurin polynomial for  [Graphics:Images/TaylorPolyMod_gr_589.gif] expanded about  [Graphics:Images/TaylorPolyMod_gr_590.gif].  
Solution 16.

[Graphics:../Images/TaylorPolyMod_gr_591.gif]


[Graphics:../Images/TaylorPolyMod_gr_592.gif]

[Graphics:../Images/TaylorPolyMod_gr_593.gif]

[Graphics:../Images/TaylorPolyMod_gr_594.gif]

[Graphics:../Images/TaylorPolyMod_gr_595.gif]

[Graphics:../Images/TaylorPolyMod_gr_596.gif]

[Graphics:../Images/TaylorPolyMod_gr_597.gif]

[Graphics:../Images/TaylorPolyMod_gr_598.gif]

[Graphics:../Images/TaylorPolyMod_gr_599.gif]

Animation 14.  ( Maclaurin Polynomial  Maclaurin Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004