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We consider the polynomial function of degree d, d f : R- R, f(x) = > apack k=0 and form the n-th Maclaurin polynomial, f

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We consider the polynomial function of degree d, d f : R- R, f(x) = > apack k=0 and form the n-th Maclaurin polynomial, f ( k ) (0 ) T(x) = k k! K=0 for some n E N. What is the strongest correct statement? (A ) We have f(0) = T(0). (B) For higher order derivatives of f and T we have f(*) (0) = T()(0) for k = 0, . .., n (C) We have f(x) = T(x) for all r ER. (D) All three of the above statements are correct

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