Chapter 7: Q. 24 (page 631)
In Exercises use one of the comparison tests to determine whether the series converges or diverges. Explain how the given series satisfies the hypotheses of the test you use.
.
Short Answer
The seriesis convergent.
Chapter 7: Q. 24 (page 631)
In Exercises use one of the comparison tests to determine whether the series converges or diverges. Explain how the given series satisfies the hypotheses of the test you use.
.
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 Given Exercises converge or diverge. Explain why the series meets the hypotheses of the test you select.
Prove that if converges to L and converges to M , then the series.
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?
Find an example of a continuous function f :such that diverges and localid="1649077247585" converges.
Given a series , in general the divergence test is inconclusive when . For a geometric series, however, if the limit of the terms of the series is zero, the series converges. Explain why.
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