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Two Geometric Views of Newton's Method
The top plot shows the usual geometric picture of Newton's method for finding an approximate solution to . Starting with an initial guess, , move down the tangent until you hit the axis, then calculate a new tangent line and repeat times. The bottom plot is a cobweb plot for . This illustrates that Newton's method composes with itself times starting with .



"Two Geometric Views of Newton's Method" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/TwoGeometricViewsOfNewtonsMethod/
Contributed by: Bruce Atwood
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