Example 17.  Find the Maclaurin polynomial for  [Graphics:Images/TaylorPolyMod_gr_600.gif] expanded about  [Graphics:Images/TaylorPolyMod_gr_601.gif].  
Solution 17.

[Graphics:../Images/TaylorPolyMod_gr_602.gif]


[Graphics:../Images/TaylorPolyMod_gr_603.gif]

[Graphics:../Images/TaylorPolyMod_gr_604.gif]

[Graphics:../Images/TaylorPolyMod_gr_605.gif]

[Graphics:../Images/TaylorPolyMod_gr_606.gif]

[Graphics:../Images/TaylorPolyMod_gr_607.gif]

[Graphics:../Images/TaylorPolyMod_gr_608.gif]

[Graphics:../Images/TaylorPolyMod_gr_609.gif]

[Graphics:../Images/TaylorPolyMod_gr_610.gif]

Animation 15.  ( Maclaurin Polynomial  Maclaurin Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004