Calculate the Maclaurin polynomial T3 for f (x) = tan1 x. Compute T3 1 2 and use the
Chapter 8, Problem 37(choose chapter or problem)
Calculate the Maclaurin polynomial T3 for f (x) = tan1 x. Compute T3 1 2 and use the error bound to find a bound for the error tan1 1 2 T3 1 2 . Refer to the graph in Figure 10 to find an acceptable value of K. Verify your result by computing tan1 1 2 T3 1 2 using a calculator. 1 3 2 1 1 2 3 4 5 y x FIGURE 10 Graph of f (4)(x) = 24x(x2 1) (x2 + 1)4 , where f (x) = tan1 x.
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