Question: Consider the following function. x) 2 sinh(2x}, a = 0, n =5, l g XS 1 (a) Approximate fby a Taylor polynomial with degree n

Consider the following function. x) 2 sinh(2x}, a = 0, n =5, l g XS 1 (a) Approximate fby a Taylor polynomial with degree n at the number a. 3 5 Ts{x}= 2x+4xT+Jf5 v (b) Use "aylor's Inequality to estimate the accuracy of the approximation x) z Tn[x) when x lies in the given interval. [Round your answer to four decimal places.) |R5{X}| S X (c) Check your result in part {b} by graphing IRn(x}|. Y

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