Consider using Newton's Method x^3-2x^2+4/3 x-8/27=(x-2/3)^3 Start with x=1 (slow convergence). Show that Newton's Method has...

   

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Consider using Newton's Method x^3-2x^2+4/3 x-8/27=(x-2/3)^3 Start with x=1 (slow convergence). Show that Newton's Method has linear convergence for this problem and find several iterates-- Consider using Newton's Method x^3-2x^2+4/3 x-8/27=(x-2/3)^3 Start with x=1 (slow convergence). Show that Newton's Method has linear convergence for this problem and find several iterates--