Error Estimates(Continuation of Exercise 41. ) When x <

Chapter 10, Problem 42E

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Problem 42E

Error Estimates

(Continuation of Exercise 41. ) When x < 0,the series for e x is an alternating series. Use the Alternating Series Estimation Theorem to estimate the error that results from replacing e x by 1 + x + (x 2/2) when -0.1 < x < 0.Compare your estimate with the one you obtained in Exercise 41.

Reference: Exercise 41

The approximation

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