Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.6 Iterations x, #27 · Calculus · Applications of derivatives

A …x_{n+1}=\sqrt{2/x_n}…\sqrt[3]{2}$

A $5 c a l c u l a t or t ak ess q u a r er oo t s b u t n o t c u b er oo t s . E x pl ain w h y$ x_{n+1}=\sqrt{2/x_n} $co n v er g es t o$ \sqrt[3]{2}$.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.6 Iterations x, #27

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