Example 13.  Find the Maclaurin polynomial for  [Graphics:Images/TaylorPolyMod_gr_554.gif] expanded about  [Graphics:Images/TaylorPolyMod_gr_555.gif].  
Solution 13.

[Graphics:../Images/TaylorPolyMod_gr_556.gif]


[Graphics:../Images/TaylorPolyMod_gr_557.gif]

[Graphics:../Images/TaylorPolyMod_gr_558.gif]

[Graphics:../Images/TaylorPolyMod_gr_559.gif]

[Graphics:../Images/TaylorPolyMod_gr_560.gif]

[Graphics:../Images/TaylorPolyMod_gr_561.gif]

[Graphics:../Images/TaylorPolyMod_gr_562.gif]

[Graphics:../Images/TaylorPolyMod_gr_563.gif]

[Graphics:../Images/TaylorPolyMod_gr_564.gif]

[Graphics:../Images/TaylorPolyMod_gr_565.gif]

[Graphics:../Images/TaylorPolyMod_gr_566.gif]

Animation 10.  ( Maclaurin Polynomial  Maclaurin Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004