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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.6 Iterations x, #25 · Calculus · Applications of derivatives

… has the fixed point

$x_{n + 1} = b / x_{n}$ has the fixed point $x^{*} = b$ . Show that $∣ d F / d x ∣ = 1$ at that point—what is the sequence starting from $x_{0}$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.6 Iterations x, #25

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