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Chapter 7: Q. 61 (page 592)
In Exercises 59–62 use the derivative test in Theorem 7.6 to analyze the monotonicity of the given sequence.
The test can't analyze the monotonicity of the given sequence.
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Determine whether the series converges or diverges. Give the sum of the convergent series.
Improper Integrals: Determine whether the following improper integrals converge or diverge.
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.
Use 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 Theorem 7.24 (a). That is, show that if c is a real number and is a convergent series, then .
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