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X f(x) f'(x) f(x) f ( x ) 0 3 -2 4 N -3 3 -2 2 -1 4 5 Selected values of a function

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X f(x) f'(x) f"(x) f" ( x ) 0 3 -2 4 N -3 3 -2 2 -1 4 5 Selected values of a function fand its first three derivatives are indicated in the table above. What is the third-degree Taylor polynomial for fabout x =1? (A) 2-3x+ 2 (B) 2-3(x -1)+2 (x-1)2 -2(x-1)3 N (C) 2-3(x-1)+3(x-1)2 -2(x-1)3 (D) 2-3(x-1)+3(x-1)2 -2(x-1)3

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