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please answer (a) thank you! MY NOTES Consider the following function. f(x) = In(1 + 2x), a = 3, n = 3, 2.8 5 x

please answer (a) thank you!

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MY NOTES Consider the following function. f(x) = In(1 + 2x), a = 3, n = 3, 2.8 5 x s 3.2 (a) Approximate f by a Taylor polynomial with degree n at the number a. T3(X) = 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 six decimal places.) IR3(X)| S .000003 (c) Check your result in part (b) by graphing |Rn(x)I

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