Values of ex from Values of ex Problem: You can calculate the value of e2 by first

Chapter 12, Problem 18

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Values of ex from Values of ex Problem: You can calculate the value of e2 by first finding the value of e2, then taking the reciprocal. After the first few terms, the series for e2 meets the hypotheses for the alternating series test. Thus, the error for any partial sum is bounded by the first term of the tail of the series after that partial sum. Estimate the error in the estimate of e2 using the 11th partial sum (S10). Then estimate e2 by calculating 1/S10. Is the error in the answer any smaller than the error in using S10 directly for e2, as in Example 1 of this section?

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