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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