Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.7 Newton’s Method (and Chaos), #2 · Calculus · Applications of derivatives

For … Newton's formula is … ______

For $f (x) = (x - 1) / (x + 1)$ Newton's formula is $x_{n + 1} = F (x_{n}) =$ ______. Solve $x^{*} = F (x^{*})$ and find $F^{'} (x^{*})$ . What limit do the $x_{n}$ 's approach?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.7 Newton’s Method (and Chaos), #2

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