Question: Question 2 9 Let f(x) = r - 2r + 2. (i) Using ro = 0, run four iterations of Newton's Method - what happens

Question 2 9 Let f(x) = r - 2r + 2. (i) Using ro = 0, run four iterations of Newton's Method - what happens (write a sen- tence)? [2] (ii) With the aid of a diagram, explain why Newton's Method fails for ro = 0 and for To = 1. [4] (iii) Now using ro = -2, use Newton's Method to approximate a solution to f(x) = 0. Briefly explain why the method succeeds this time. [3]

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