One of the two sets of functions, f1, f2, f3, or g1, g2, g3 is graphed in Figure 10.12;

Chapter 10, Problem 34

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One of the two sets of functions, f1, f2, f3, or g1, g2, g3 is graphed in Figure 10.12; the other set is graphed in Figure 10.13. Taylor series for the functions about a point corresponding to either A or B are as follows: f1(x)=3+(x 1) (x 1)2 + f2(x)=3 (x 1) + (x 1)2 + f3(x)=3 2(x 1) + (x 1)2 + g1(x)=5 (x 4) (x 4)2 + g2(x)=5 (x 4) + (x 4)2 + g3(x)=5+(x 4) + (x 4)2 + . (a) Which group of functions is represented in each figure?

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