Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.7 Newton’s Method (and Chaos), #25 · Calculus · Applications of derivatives

For …, … never returns to

This problem is about $x^{2} + 1 = 0$ and chaos.

For $θ = 1$ , $x_{n}$ never returns to $x_{0} = cot 1$ . The angles $2^{n}$ and $1$ never differ by a multiple of $π$ because ______.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.7 Newton’s Method (and Chaos), #25

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