Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.7 Newton’s Method (and Chaos), #39 · Calculus · Applications of derivatives

Three bisection steps reduce the interval by what factor

This problem is about competitors of Newton.

Three bisection steps reduce the interval by what factor? Starting from $x_{0} = 0$ and $x_{1} = 8$ , take three steps for $f (x) = x^{2} - 10$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.7 Newton’s Method (and Chaos), #39

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