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Problem 3. The iteration xn+1 = 2 (1 + c)xn + cx3n will converge to s =1 for some values of c (provided x0 is

Problem 3. The iteration xn+1 = 2 (1 + c)xn + cx3n will converge to s =1 for some values of c (provided x0 is chosen sufficiently close to s). Find the values of c for which this is true. For what values of c will the convergence be quadratic?

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