Pathological example for Newton's method (applet) Paul Garrett,

This example illustrates a pathological possibility for Newton's method. (See non-pathological case to see what should happen in the good situation.)

-> Try various initial points to compare how quickly the true root is approached.
-> Note that the close approach of the graph to the x-axis in the "trough" causes bizarre and unpredicatable "deflections" from the true root...

© 1997, Paul Garrett ... [ ]
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