Example 4. Slow Convergence  Find the solution to  [Graphics:Images/SecantMethodMod_gr_324.gif].  
Use the Secant Method and the starting approximations  [Graphics:Images/SecantMethodMod_gr_325.gif]  and  [Graphics:Images/SecantMethodMod_gr_326.gif].  

Solution 4.

[Graphics:../Images/SecantMethodMod_gr_327.gif]

[Graphics:../Images/SecantMethodMod_gr_328.gif]

[Graphics:../Images/SecantMethodMod_gr_329.gif]

[Graphics:../Images/SecantMethodMod_gr_330.gif]
[Graphics:../Images/SecantMethodMod_gr_331.gif]
[Graphics:../Images/SecantMethodMod_gr_332.gif]
[Graphics:../Images/SecantMethodMod_gr_333.gif]
[Graphics:../Images/SecantMethodMod_gr_334.gif]
[Graphics:../Images/SecantMethodMod_gr_335.gif]
[Graphics:../Images/SecantMethodMod_gr_336.gif]
[Graphics:../Images/SecantMethodMod_gr_337.gif]
[Graphics:../Images/SecantMethodMod_gr_338.gif]
[Graphics:../Images/SecantMethodMod_gr_339.gif]
[Graphics:../Images/SecantMethodMod_gr_340.gif]
[Graphics:../Images/SecantMethodMod_gr_341.gif]
[Graphics:../Images/SecantMethodMod_gr_342.gif]
[Graphics:../Images/SecantMethodMod_gr_343.gif]
[Graphics:../Images/SecantMethodMod_gr_344.gif]
[Graphics:../Images/SecantMethodMod_gr_345.gif]
[Graphics:../Images/SecantMethodMod_gr_346.gif]
[Graphics:../Images/SecantMethodMod_gr_347.gif]
[Graphics:../Images/SecantMethodMod_gr_348.gif]
[Graphics:../Images/SecantMethodMod_gr_349.gif]
[Graphics:../Images/SecantMethodMod_gr_350.gif]
[Graphics:../Images/SecantMethodMod_gr_351.gif]
[Graphics:../Images/SecantMethodMod_gr_352.gif]
[Graphics:../Images/SecantMethodMod_gr_353.gif]
[Graphics:../Images/SecantMethodMod_gr_354.gif]
[Graphics:../Images/SecantMethodMod_gr_355.gif]
[Graphics:../Images/SecantMethodMod_gr_356.gif]
[Graphics:../Images/SecantMethodMod_gr_357.gif]
[Graphics:../Images/SecantMethodMod_gr_358.gif]
[Graphics:../Images/SecantMethodMod_gr_359.gif]
[Graphics:../Images/SecantMethodMod_gr_360.gif]
[Graphics:../Images/SecantMethodMod_gr_361.gif]
[Graphics:../Images/SecantMethodMod_gr_362.gif]
[Graphics:../Images/SecantMethodMod_gr_363.gif]

[Graphics:../Images/SecantMethodMod_gr_364.gif]

Animation 2.  ( Secant Method  Secant Method ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004