Example 7. NON Convergence, Diverging to Infinity  Find the solution to  [Graphics:Images/Newton'sMethodMod_gr_484.gif].  Use the starting approximation  [Graphics:Images/Newton'sMethodMod_gr_485.gif].  

Solution 7.

[Graphics:../Images/Newton'sMethodMod_gr_486.gif]

[Graphics:../Images/Newton'sMethodMod_gr_487.gif]

[Graphics:../Images/Newton'sMethodMod_gr_488.gif]
[Graphics:../Images/Newton'sMethodMod_gr_489.gif]
[Graphics:../Images/Newton'sMethodMod_gr_490.gif]

[Graphics:../Images/Newton'sMethodMod_gr_491.gif]
[Graphics:../Images/Newton'sMethodMod_gr_492.gif]
[Graphics:../Images/Newton'sMethodMod_gr_493.gif]
[Graphics:../Images/Newton'sMethodMod_gr_494.gif]
[Graphics:../Images/Newton'sMethodMod_gr_495.gif]
[Graphics:../Images/Newton'sMethodMod_gr_496.gif]
[Graphics:../Images/Newton'sMethodMod_gr_497.gif]
[Graphics:../Images/Newton'sMethodMod_gr_498.gif]
[Graphics:../Images/Newton'sMethodMod_gr_499.gif]
[Graphics:../Images/Newton'sMethodMod_gr_500.gif]
[Graphics:../Images/Newton'sMethodMod_gr_501.gif]
[Graphics:../Images/Newton'sMethodMod_gr_502.gif]
[Graphics:../Images/Newton'sMethodMod_gr_503.gif]
[Graphics:../Images/Newton'sMethodMod_gr_504.gif]
[Graphics:../Images/Newton'sMethodMod_gr_505.gif]
[Graphics:../Images/Newton'sMethodMod_gr_506.gif]
[Graphics:../Images/Newton'sMethodMod_gr_507.gif]
[Graphics:../Images/Newton'sMethodMod_gr_508.gif]
[Graphics:../Images/Newton'sMethodMod_gr_509.gif]
[Graphics:../Images/Newton'sMethodMod_gr_510.gif]
[Graphics:../Images/Newton'sMethodMod_gr_511.gif]
[Graphics:../Images/Newton'sMethodMod_gr_512.gif]

[Graphics:../Images/Newton'sMethodMod_gr_513.gif]

Animation 5.  ( Newton's Method  Newton's Method ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004