Consider the problem of finding a fixed-point i ER for the function g(x):=1+1 c) Show that the iteration Ik := g(11-1) converges to the unique fixed point of g for all 20 [1, 2.2]. Does the quadratic Banach-Caccioppoli ensure a quadratic convergence. Explain why, or why not. (d) Starting from 20 = 1, using a scientific calculator, compute, to four significant figures, Id = 9(2k-1) for k 1,...,5, the errors ex = \Ik 2 for k = 0,..., 4, and the residuals rk = ** - 9(2x), for k=0,...,4. (e) Compare the observed order of convergence of the errors you calculated in part (d) with your answer in part (c)