Chapter 7: Q. 13 (page 639)
Explain how you could adapt the root test to analyze a seriesin which the terms of the series are all negative.
Short Answer
Hence proved.
Chapter 7: Q. 13 (page 639)
Explain how you could adapt the root test to analyze a seriesin which the terms of the series are all negative.
Hence proved.
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Get started for freeExplain why the integral test may be used to analyze the given series and then use the test to determine whether the series converges or diverges.
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.
Use 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.
36.
Explain how you could adapt the integral test to analyze a series in which the function is continuous, negative, and increasing.
Use the divergence test to analyze the given series. Each answer should either be the series diverges or the divergence test fails, along with the reason for your answer.
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