insider the following function. f(x) = x¹/3, a = 1, n = 3, 0.9 ≤ x ≤ 1.1 a) Approximate f by a Taylor polynomial with degree n at the number a. T3(x) = 20 162 (x-1)³- 4 18(x-1)²- 1(x-1) 3 X (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x)= T(x) when x lies in the given interval. (Round your answer to eight decimal places.) IR3(x)| ≤ 0.000012 x

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