Question: = = Consider the problem of minimizing f(x) = x; (72)4, x E R. Note that 0 is the global minimizer of f. a. Write

= = Consider the problem of minimizing f(x) = x;

= = Consider the problem of minimizing f(x) = x; (72)4, x E R. Note that 0 is the global minimizer of f. a. Write down the algorithm for Newton's method applied to this problem. b. Show that as long as the starting point is not 0, the algorithm in part a does not converge to 0 (no matter how close to 0 we start)

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