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5. Consider the function f [32) where . the 3rd degree Taylor polynomial of f (:1!) centered at a: = 1 is mm) = 1+

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5. Consider the function f [32) where . the 3rd degree Taylor polynomial of f (:1!) centered at a: = 1 is mm) = 1+ 2[:r: 1) + (x 1)2. . the 4th degree Taylor polynomial of f [5.9) centered at a: = 2 is 1 111(22] = 7+ 3(2: 2) + lm 2)2 + 2(3: 2)? (3) Fill in the following table with the appropriate value or, if it is impossible to do so, put an X in the cell. (b) Evaluate f1 2 f'(f\"[m]) f'\"(m] (19?. E a 1- \"'33) '1 (C) V uatemlilil] m. 2 (d) Find the rst degree Taylor polynomial of 9(3) 2 8 0(3)) centered at it: = 2. (e) Find the second degree Taylor polynomial of Mat] 2 f (1 + sin(7r:r]) centered at a: = l

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