Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.6 Iterations x, #40 · Calculus · Applications of derivatives

What are the solutions of … and why is Newton's method sure…

What are the solutions of $f (x) = x^{2} + 2 = 0$ and why is Newton's method sure to fail? But carry out the iteration to see whether $x_{n} \to \infty$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.6 Iterations x, #40

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