Caution: TEMATH's tools will write the values of computed
results at the bottom of this Report window. This will cause you to constantly scroll between
the computed results and the instructions for this activity. You may want to print a copy of
the contents of the Report window before you begin this activity. 
x[n+1] = x[n]  f(x[n])/f'(x[n]), n = 0, 1, 2, 3, ... 
Note that a point is drawn on the xaxis at the initial approximation, a arrow is drawn pointing to the current approximation, and the value of the current approximation is written into this Report window.
Note that the tangent to the curve at the initial approximation is drawn, and a point and arrow is drawn at the next approximation. Also, the value of the new approximation is written into this Report window.
Observe the convergence of Newton's Method from a visual point of view in the Graph window and from a numerical point of view in the Report window.

In this case, Newton's Method does not converge to the root using the initial approximation x0 = 0.




Copyright 20002008 Adam O. Hausknecht and Robert E. Kowalczyk