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Consider the problem of maximizing a differentiable function f x of

Consider the problem of maximizing a differentiable function f(x) of a single unconstrained variable x. Let x0 and 0, respectively, be a valid lower bound and upper bound on the same global maximum (if one exists). Prove the following general properties of the bisection method (as presented in Sec. 13.4) for attempting to solve such a problem.

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