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Mathematics 14 Online
OpenStudy (anonymous):

Consider the following function. f(x) = x sin x, a = 0, n = 4, −0.6 ≤ x ≤ 0.6 (a) Approximate f by a Taylor polynomial with degree n at the number a. I found T4(x) = x^2 -(1/6) x^4 I need help with part b (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 four decimal places.) |R4(x)| ≤ ??????

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