Theory and ExamplesCurves that are nearly flat at the root

Chapter 4, Problem 29E

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Problem 29E

Theory and Examples

Curves that are nearly flat at the root Some curves are so flat that, in practice, Newton’s method stops too far from the root to give a useful estimate. Try Newton’s method on  with a starting value of to see how close your machine comes to the root x = 1. See the accompanying graph.

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