Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.7 Newton’s Method (and Chaos), #47 · Calculus · Applications of derivatives

Newton's method for … is

Newton's method for $sin x = 0$ is $x_{n + 1} = x_{n} - tan x_{n}$ . Graph $sin x$ and three iterations from $x_{0} = 2$ and $x_{0} = 1.8$ . Predict the result for $x_{0} = 1.9$ and test. This leads to the _computer project_ in Problem 3.6.41, which finds fractals.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.7 Newton’s Method (and Chaos), #47

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