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Problem 2 For the equation f(x) = x2-3x+2=0 each of the following functions yields an equivalent fixed-point problem: 81 (x) = (x2 + 2)/3 82 (x) = V3x-2 83(x) = 3-2/x g4(x) = (x2-2)/(2-3) a Analyze the convergence properties of each of the corresponding fixed-point iteration schemes for the root x = 2 by considering lg(21. b. Confirm your analysis by implementing each of the schemes and verifying its convergence (or lack thereof) and approximate convergence rate Problem 2 For the equation f(x) = x2-3x+2=0 each of the following functions yields an equivalent fixed-point problem: 81 (x) = (x2 + 2)/3 82 (x) = V3x-2 83(x) = 3-2/x g4(x) = (x2-2)/(2-3) a Analyze the convergence properties of each of the corresponding fixed-point iteration schemes for the root x = 2 by considering lg(21. b. Confirm your analysis by implementing each of the schemes and verifying its convergence (or lack thereof) and approximate convergence rate