For the function f (x) chosen above, compute the

Chapter , Problem 1

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For the function f (x) chosen above, compute the corresponding Newtons method function N(x) = x f (x)/ f (x). Verify that this function has fixed points at the roots x = 0, x = 1 and x = 2. Verify that these are attracting fixed points. What does this imply for orbits of N(x) for seeds x0 near 0, 1, or 2?

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