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  3. 9 consider the function g21 a verify x 0...

Question: 9 consider the function g21 a verify x 0...

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9. Consider the function g)2(1 (a) Verify x = 0 and x = 1 /2 are fixed points of g(x). (b) Why should we expect that fixed point iteration, starting even with a value very close to zero, will fail to converge toward 0? (c) Why should we expect that fixed point iteration, starting with po E (0,1) 1/2? What order of convergence should we will converge toward expect? (d) Perform seven iterations starting from an arbitrary po (0,1) and nmer ical confirm the order of convergence (Please include your program for completeness.)

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