Chapter 7: Q. 25 (page 653)
Use the alternating series test to determine whether the series in Exercises 24–29 converge or diverge. If a series converges, determine whether it converges absolutely or conditionally.
Short Answer
The seriesconverges
Chapter 7: Q. 25 (page 653)
Use the alternating series test to determine whether the series in Exercises 24–29 converge or diverge. If a series converges, determine whether it converges absolutely or conditionally.
The seriesconverges
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Get started for freeFor each series in Exercises 44–47, do each of the following:
(a) Use the integral test to show that the series converges.
(b) Use the 10th term in the sequence of partial sums to approximate the sum of the series.
(c) Use Theorem 7.31 to find a bound on the tenth remainder .
(d) Use your answers from parts (b) and (c) to find an interval containing the sum of the series.
(e) Find the smallest value of n so that.
Let andbe two convergent geometric series. Prove that converges. If neither c nor b is 0, could the series be ?
In Exercises 48–51 find all values of p so that the series converges.
In Exercises 48–51 find all values of p so that the series converges.
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