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Suppose the function f (x) has a Taylor series at x = 4 that converges to f(x) for all r E R, and the n-th

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Suppose the function f (x) has a Taylor series at x = 4 that converges to f(x) for all r E R, and the n-th derivative of f(x) at x = 4 is f(") (4) = (-1)nn! 3n (n + 1) Define Tn (x) as the n-th degree Taylor polynomial of f at x = 4. Show T5 (5) approximates f (5) with error less than or equal to 1 5103 Note: 1 1 36*7 5103

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