Question: 10. 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

10. 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(7) (4) = (-1)"n! 3" (n + 1 ) Define Th (x) as the n-th degree Taylor polynomial of f at r = 4. Show T,(5) approximates f(5) with error less than or equal to 5103 . Note: 36+7 5103

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