Question: (a) Approximate f by a Taylor polynomial with degree n at the number a. (b) Use Taylor's Inequality to estimate the accuracy of the approximation
(a) Approximate f 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 line in the given interval.
(c) Check your result in part (b) by graphing |Rn (x)|.
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f(x) = In(1 + 2x), a = 1, n= 3, 0.5 < x < 1.5
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fnx 0 In1 2x 1 212x 2 412x 3 1612x 49612x 22 c 0005 yRx fn 1 In ... View full answer
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