Consider the following function. f (x) = e², , a = 0, n = 3,0 < x< 0.2 (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 fx T(x) when x lies in the given interval. (Round the answer to five decimal places.) |R3(x)| S| (c) Check your result in part (b) by graphing |R,(x)|. (Do this on your graphing device. Your instructor may ask to see this graph.)

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