To prove : The initial guesses 0 , 1 a n d 2 applied to the fixed point iteration g ( x ) = 1 − 5 x + 15 2 x 2 − 5 2 x 3 lead to a fixed point and to determine the reactions to other initial guesses close to those numbers.

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Chapter 1.2, Problem 22E

To determine

To prove : The initial guesses 0,1 and2 applied to the fixed point iteration g(x)=1−5x+152x2−52x3 lead to a fixed point and to determine the reactions to other initial guesses close to those numbers.

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