Question: Briefly discuss how a higher-order Taylor approximation can be used to prove that a C? concave function f defined on an open set achieves

Briefly discuss how a higher-order Taylor approximation can be used to prove 

Briefly discuss how a higher-order Taylor approximation can be used to prove that a C? concave function f defined on an open set achieves its global maximum where Df(x) = 0. You do not need to provide a formal proof, just explain how such a proof would work (you may like to focus on functions of one variable).

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