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CalculusQ&A LibraryConsider the following function.f(x) = sqrt(x), a = 4, n = 2, 4 <= x <= 4.9(a) Approximate f by a Taylor polynomial with degree n at the number a.T2(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f ≈ Tn(x) when x lies in the given interval. (Round the answer to six decimal places.)|R2(x)|Start your trial now! First week only $4.99!*arrow_forward*

Question

Consider the following function.

f(x) = sqrt(x), a = 4, n = 2, 4 <= x <= 4.9

(a) Approximate f by a Taylor polynomial with degree n at the number a.

T2(x) =

(b) Use Taylor's Inequality to estimate the accuracy of the approximation f ≈ Tn(x) when x lies in the given interval. (Round the answer to six decimal places.)

|R2(x)|

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