Example 7.  Find the Maclaurin polynomial for  [Graphics:Images/TaylorPolyMod_gr_458.gif]  expanded about  [Graphics:Images/TaylorPolyMod_gr_459.gif].  
Solution 7.

[Graphics:../Images/TaylorPolyMod_gr_460.gif]


[Graphics:../Images/TaylorPolyMod_gr_461.gif]

[Graphics:../Images/TaylorPolyMod_gr_462.gif]

[Graphics:../Images/TaylorPolyMod_gr_463.gif]

[Graphics:../Images/TaylorPolyMod_gr_464.gif]

[Graphics:../Images/TaylorPolyMod_gr_465.gif]

[Graphics:../Images/TaylorPolyMod_gr_466.gif]

[Graphics:../Images/TaylorPolyMod_gr_467.gif]

[Graphics:../Images/TaylorPolyMod_gr_468.gif]

Animation 4.  ( Maclaurin Polynomial  Maclaurin Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004