Question

c. Newton's method always finds an approximate root of a function. Choose the best response below. A. True. If enough steps of Newton's method are used, the successive approximations always converge to a root of a function. B. False. If the initial approximation x0 = 1.1 is used to find the root of f(x) = 8x^2 / (3x^2 + 1), Newton's method will not converge to the root x = 0. C. True. Because Newton's method is only striving to achieve an approximation of the root of a function and never the true answer, Newton's method will never fail in finding an approximation. D. False. If the initial approximation x0 = 0.15 is used to find the root of f(x) = 8x^2 / (3x^2 + 1), Newton's method will not converge to the root x = 0.

          c. Newton's method always finds an approximate root of a function.

Choose the best response below.

A. True. If enough steps of Newton's method are used, the successive approximations always converge to a root of a function.
B. False. If the initial approximation x0 = 1.1 is used to find the root of f(x) = 8x^2 / (3x^2 + 1), Newton's method will not converge to the root x = 0.
C. True. Because Newton's method is only striving to achieve an approximation of the root of a function and never the true answer, Newton's method will never fail in finding an approximation.
D. False. If the initial approximation x0 = 0.15 is used to find the root of f(x) = 8x^2 / (3x^2 + 1), Newton's method will not converge to the root x = 0.

c. Newton's method always finds an approximate root of a function.

Choose the best response below.

A. True. If enough steps of Newton's method are used, the successive approximations always converge to a root of a function.
B. False. If the initial approximation x0 = 1.1 is used to find the root of f(x) = 8x^2 / (3x^2 + 1), Newton's method will not converge to the root x = 0.
C. True. Because Newton's method is only striving to achieve an approximation of the root of a function and never the true answer, Newton's method will never fail in finding an approximation.
D. False. If the initial approximation x0 = 0.15 is used to find the root of f(x) = 8x^2 / (3x^2 + 1), Newton's method will not converge to the root x = 0.

Added by Tamara P.

Question

Please give Ace some feedback