Solved: Let f (x) = ex ex x . a. Find limx0(ex ex )/x. b. Use three-digit rounding

Chapter 1, Problem 12

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Let f (x) = ex ex x . a. Find limx0(ex ex )/x. b. Use three-digit rounding arithmetic to evaluate f (0.1). c. Replace each exponential function with its third Maclaurin polynomial, and repeat part (b). d. The actual value is f (0.1) = 2.003335000. Find the relative error for the values obtained in parts (b) and (c).

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