Chapter 7: Q. 19 (page 652)
Give an example of divergent series and such that the series role="math" localid="1649434191353" converges.
Short Answer
The seriesis convergent.
Chapter 7: Q. 19 (page 652)
Give an example of divergent series and such that the series role="math" localid="1649434191353" converges.
The seriesis convergent.
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Get started for freeUse either the divergence test or the integral test to determine whether the series in Exercises 32–43 converge or diverge. Explain why the series meets the hypotheses of the test you select.
35.
Letand be two convergent geometric series. If b and v are both nonzero, prove that is a geometric series. What condition(s) must be met for this series to converge?
In Exercises 48–51 find all values of p so that the series converges.
Use either the divergence test or the integral test to determine whether the series in Given Exercises converge or diverge. Explain why the series meets the hypotheses of the test you select.
Determine whether the series converges or diverges. Give the sum of the convergent series.
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