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Chapter 7: Q. 6 (page 603)
In Exercises 4鈥�11, give examples of sequences satisfying the given conditions or explain why such an example cannot exist.
Two divergent sequences and such that the sequence converges.
There is no such divergent sequence whose product is a convergent sequence.
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Determine whether the series converges or diverges. Give the sum of the convergent series.
Use either the divergence test or the integral test to determine whether the series in Exercises 32鈥�43 converge or diverge. Explain why the series meets the hypotheses of the test you select.
36.
Determine whether the series converges or diverges. Give the sum of the convergent series.
Use any convergence test from this section or the previous section to determine whether the series in Exercises 31鈥�48 converge or diverge. Explain how the series meets the hypotheses of the test you select.
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.
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