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Convergence. Let f(x)= x + 2x-3x -4 = 0. Write this as choosing (1) (x -...

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Convergence. Let f(x)= x + 2x-3x -4 = 0. Write this as choosing (1) (x -f(x)), (2) (x (x)), (3) x + f(x), (4) 

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Convergence. Let f(x)= x³ + 2x²-3x -4 = 0. Write this as choosing (1) (x³ - f(x)), (2) (x² −ƒ(x)), (3) x + ƒ(x), (4) (x³ - f(x))/x², (5) (2x² -f(x))/(2x) and in each case xo = 1.5. Find out about convergence and divergence and the numbers of steps to reach 10-6 accuracy of a root. = g(x), for g(x) X = Interval Bisection method and Newton's method. Solve x = cos x by Newton's method and by Interval bisection method. Compare them. Convergence. Let f(x)= x³ + 2x²-3x -4 = 0. Write this as choosing (1) (x³ - f(x)), (2) (x² −ƒ(x)), (3) x + ƒ(x), (4) (x³ - f(x))/x², (5) (2x² -f(x))/(2x) and in each case xo = 1.5. Find out about convergence and divergence and the numbers of steps to reach 10-6 accuracy of a root. = g(x), for g(x) X = Interval Bisection method and Newton's method. Solve x = cos x by Newton's method and by Interval bisection method. Compare them.

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