Let f(x) e x . Complete the following table. In the right

Chapter 5, Problem 29

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Let f(x) e x . Complete the following table. In the right column, give the average rates of change to six decimal places without rounding. Note that the average rates of change seem to approach e2 7.3890560. . . . This result along with Table 4 in the text supports a statement in the box on page 340: The instantaneous rate of change of f(x) e x at x 2 is e2 . f/x for Interval f(x) ex [1.9, 2] [1.99, 2] [1.999, 2] [1.9999, 2] [1.99999, 2] [1.999999, 2] [1.9999999, 2] 30.

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