X Suppose f(x) is defined for all real numbers and has continuous derivatives of all orders for all real numbers x, and we know that f(4) (x)| ≤ 12 for all x. We want to approximate f(x) using the third-order Taylor polynomial T3(x) at base point 0. Based only on the above information, what is the maximum possible error when T3 (1) is used to approximate f(1)? 120 04 O 0.001 O 0.5 0 3

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