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categoryرياضيات schoolبكالوريوس event_available2026-07-13

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Q2. Most functions can be rearranged in several ways to give x = g(x) with which to begin the fixed-point method. For f(x)=e* -2x², one g(x) is a. x=±√√e* 12 Show that this converges to the root near 1.5 if the positive value is used and to the root near - 0.5 if the negative value is used. b. There is a third root near 2.6. Show that there is no convergence to this root even though values near to the root are used to begin the iterations. Where does it converge if x =2.5? If x? 2.7? C. Find another arrangement that does converge correctly to the third root. Use Aitken Acceleration method to help you finding the root faster.

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