Question: Consider the fixed-point iteraration , where g(x) = . Find initial guesses for which FPI: (a) cycles endlessly through numbers in the interval (0, 1);

Consider the fixed-point iteraration Consider the fixed-point iteraration , where g(x) = . Find initial guesses , where g(x) = for which FPI: (a) cycles endlessly through numbers in the interval (0, . Find initial guesses for which FPI:

(a) cycles endlessly through numbers in the interval (0, 1);

(b) the same as (a) but the interval is (1, 2); and

(c) diverges to infinity

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