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In: Advanced Math

Let f(x) = x - R/x and g(x) = Rx - 1/x a) Derive a Newton...

Let f(x) = x - R/x and g(x) = Rx - 1/x

a) Derive a Newton iteration formula for finding a root of f(x) that does not involve 1/xn. To which value does the Newton iterates xn converge?

b) Derive a Newton iteration formula for finding a root of g(x) that does not involve 1/xn. To which value does the Newton iterates xn converge?

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