Calculate the Maclaurin polynomial T3 for f(x) = tan¯¹ X. Compute T3 (2) and use the Error Bound to find a bound for |tan-11-2-73 (1)|- T3 Refer to the graph in Figure 8 to find an acceptable value of K. Verify your result by computing tan-¹-T3 using a calculator. 4 3 2 1 -1 y 2 FIGURE 8 Graph of f(4)(x) = 3 Rogawski et al., Single Variable Calculus, 4e, Ⓒ 2019 W. H. Freeman and Company X − 24x(x² − 1) (x² + 1)² where f(x) = = tan X.

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