In 5053, for the function f define a sequence recursively by xn = f(xn1) for n > 1 and

Chapter 9, Problem 50

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In 5053, for the function f define a sequence recursively by xn = f(xn1) for n > 1 and x1 = a. Depending on f and the starting value a, this sequence may converge to a limit L. If L exists, it has the property that f(L) = L. For the functions and starting values given, use a calculator to see if the sequence converges. [To obtain the terms of the sequence, repeatedly push the function button.]

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