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Consider the following function. f(x) = x3/3, a=1, n= 3, 0.8Exs1.2 (a) Approximate f by a Taylor polynomial with degree n at the number a.

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Consider the following function. f(x) = x3/3, a=1, n= 3, 0.8Exs1.2 (a) Approximate f by a Taylor polynomial with degree n at the number a. T3 (x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ~ 7 (x) when x lies in the given interval. (Round your answer to eight decimal places.) IR 3(x) IS (c) Check your result in part (b) by graphing |R, (x) I. 0.00008 X 0.9 1.1 1.2 0.00006 -0.00002 0.00004 -0.00004 0.00002 -0.00006 X -0.00008 O 0.9 1.0 1.1 1.2 AO0.00008 0.9 1.0 1.1 1.2 -0.00002 0.00006 - 0.00004 0.00004 -0.00006 0.00002 -0.00008 X O 0.9 1.0 1.1 1.2

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