Example 14.  Find the Maclaurin polynomial for  [Graphics:Images/TaylorPolyMod_gr_567.gif] expanded about  [Graphics:Images/TaylorPolyMod_gr_568.gif].  
Solution 14.

[Graphics:../Images/TaylorPolyMod_gr_569.gif]


[Graphics:../Images/TaylorPolyMod_gr_570.gif]

[Graphics:../Images/TaylorPolyMod_gr_571.gif]

[Graphics:../Images/TaylorPolyMod_gr_572.gif]

[Graphics:../Images/TaylorPolyMod_gr_573.gif]

[Graphics:../Images/TaylorPolyMod_gr_574.gif]

[Graphics:../Images/TaylorPolyMod_gr_575.gif]

[Graphics:../Images/TaylorPolyMod_gr_576.gif]

[Graphics:../Images/TaylorPolyMod_gr_577.gif]

Animation 11.  ( Maclaurin Polynomial  Maclaurin Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004