Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.7 Newton’s Method (and Chaos), #45 · Calculus · Applications of derivatives

Try Newton's method on … from

Try Newton's method on $cos x = 0$ from $x_{0} = .308$ . If $cot x_{0}$ is exactly $π$ , show that $x_{1} = x_{0} + π$ (and $x_{2} = x_{1} + π$ ). From $x_{0} = .308169071$ does Newton's method ever stop?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.7 Newton’s Method (and Chaos), #45

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