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

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Could you please do part b?

Consider the following function,
f(x) = x ²1,
2
a = 1, n = 3, 0.9 ≤ x ≤ 1.1
(a) Approximate f(x) by a Taylor polynomial with degree n at the number a.
(b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ~ Tn (x) when x lies in the given interval. (Round your
answer to six decimal places.)
Transcribed Image Text:Consider the following function, f(x) = x ²1, 2 a = 1, n = 3, 0.9 ≤ x ≤ 1.1 (a) Approximate f(x) by a Taylor polynomial with degree n at the number a. (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ~ Tn (x) when x lies in the given interval. (Round your answer to six decimal places.)
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