Chapter 7: Q. 69 (page 654)
Prove that if the series diverges, then the series also diverges.
Short Answer
The series is convergent
The seriesis divergent
Chapter 7: Q. 69 (page 654)
Prove that if the series diverges, then the series also diverges.
The series is convergent
The seriesis divergent
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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.
36.
Let 0 < p < 1. Evaluate the limit
Explain why we cannot use a p-series with 0 < p < 1 in a limit comparison test to verify the divergence of the series
Explain 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.
Determine whether the series converges or diverges. Give the sum of the convergent series.
Express each of the repeating decimals in Exercises 71–78 as a geometric series and as the quotient of two integers reduced to lowest terms.
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