Chapter 7: Q 68. (page 641)
Prove the root test. You may model your proof on the proof of the ratio test
Short Answer
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Chapter 7: Q 68. (page 641)
Prove the root test. You may model your proof on the proof of the ratio test
g
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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.
Provide a more general statement of the integral test in which the function f is continuous and eventually positive, and decreasing. Explain why your statement is valid.
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.
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.
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