If is a cubic polynomial such that is never zero, then any initial guess will force

Chapter 3, Problem 41

(choose chapter or problem)

True or False? In Exercises 39–42, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

If \(f(x)\) is a cubic polynomial such that \(f^{\prime}(x)\) is never zero, then any initial guess will force Newton’s Method to converge to the zero of f.

Text Transcription:

f(x)

f^prime(x)

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