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∞ Consider the series Σ(-1)"+¹e¯n. (Use decimal approximations with at least 6 digits for your answers) n=1 (a) Show tha
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∞ Consider the series Σ(-1)"+¹e¯n. (Use decimal approximations with at least 6 digits for your answers) n=1 (a) Show tha
∞ Consider the series Σ(-1)"+¹e¯n. (Use decimal approximations with at least 6 digits for your answers) n=1 (a) Show that the hypotheses of the Alternating Series Estimation Theorem are satisfied for this series. (b) Find $5. (c) Using the Alternating Series Estimation Theorem, find an upper bound for the error (absolute value) in approxi- mating the sum of the series by $5. (d) Find the sum of the series. (e) Find the absolute value of the actual error in approximating the sum of the series using 85. Does your answer contradict the Alternating Series Estimation Theorem? Explain briefly.