Question: Consider the following function a 0 n 3 0 x 0 1 a Approximate f by a Taylor polynomial with degree n at the number

Consider the following function a 0 n 3 0 x 0 1 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 n x when x lles in the given interval Round your answer to five decimal places R3 x c Check your result in part b by graphing IR x y 0 0001 0 0002 0 0003 0 0004 0 0005 0 0006 0 00071 0 0001 0 0002 0 0009 0 0004 0 0005 0 0005 0 0007 0 02 0 04 0 06 0 08 0 10 X 0 02 0 04 0 06 0 08 0 10 0 0007 0 0006 0 0005 0 0004 0 0003 0 0002 0 0001 0 02 0 04 0 06 0 08 x 0 10 0 0007 0 0006 0 0005 0 0004 0 0003 0 0002 0 0001 0 02

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