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

Suppose the function f(x) has a Taylor series at x =

Suppose the function f(x) has a Taylor series at x = 4 that converges to f(x) for all x E R, and the n-th derivative of f(x) at x = 4 is f() (4) = (-1)nn! 3 (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: 36*7 1 1 5103

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