Remainders and estimates Consider the following convergent series.
- 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. Find an interval in which the value of the series must lie if you approximate it using ten terms of the series.
38.
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