1) Consider the following convergent series. Sigma k = 1 infinity 4/k^6 a. Find
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Consider the following convergent series. Sigma k = 1 infinity 4/k^6 a. Find an upper bound for the remainder in terms of n. b. Find how many terms are needed to ensure that the remainder is less than 10^-3. c. Find lower and upper bounds (Ln and Un, respectively) on the exact value of the series. d. Use the lower and upper bounds to find an interval in which the value of the series must lie if you approximate it using ten terms of the series. (Do not round until the final ans. Round to the 7th dec places)Explanation / Answer
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