Let f (x) = _ _ x 1 for x 1 _ 1 x for x 1 (a) Show that if you use the NewtonRaphson

Chapter 5, Problem 6

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Let f (x) = _ _ x 1 for x 1 _ 1 x for x 1 (a) Show that if you use the NewtonRaphson method to solve f (x) = 0, then the following statement holds: If x0 = 1 + h, then x1 = 1 h, and if x0 = 1 h, then x1 = 1 + h. (b) Does the NewtonRaphson method converge? Use a graph to explain what happens.

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