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If the method of functional iteration is used on f(x) = 0.5(1 +x^2 ) ^(1) starting at x0 = 7, will the resulting sequence converge?

If the method of functional iteration is used on f(x) = 0.5(1 +x^2 ) ^(1) starting at x0 = 7, will the resulting sequence converge? If so, what is the limit? Establish your answer rigorously

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