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2. Consider the family of recursive formulas of the form x.-ax, (1-x.) where a takes a different value for different members of the family. a.

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2. Consider the family of recursive formulas of the form x.-ax, (1-x.) where a takes a different value for different members of the family. a. Consider a = 1.75. If x = 0.2, use a spreadsheet, calculator, or some other software (or code of your own) to find precise estimates of X30, X21, X22 , and Xyz b. Consider a = 3.2. If x, = 0.2, use a spreadsheet, calculator, or some other software (or code of your own) to find precise estimates of X20 , X2, X22, and xy c. Based on your work above, which sequence (if any) seems to converge for x = 0.2? (Just for fun: try other values of a between 1 and 4, particularly values near 4.)

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