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Chapter 7: Q. 25 (page 653)
Use the alternating series test to determine whether the series in Exercises 24鈥�29 converge or diverge. If a series converges, determine whether it converges absolutely or conditionally.
The seriesconverges
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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.
Express each of the repeating decimals in Exercises 71鈥�78 as a geometric series and as the quotient of two integers reduced to lowest terms.
Determine whether the series converges or diverges. Give the sum of the convergent series.
Given that and , find the value ofrole="math" localid="1648828282417" .
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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