Chapter 7: Q 19. (page 631)
In Example 1 we used the comparison test to show that the series converges. Use the limit comparison test to prove the same result.
Chapter 7: Q 19. (page 631)
In Example 1 we used the comparison test to show that the series converges. Use the limit comparison test to prove the same result.
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Get started for freeExpress each of the repeating decimals in Exercises 71–78 as a geometric series and as the quotient of two integers reduced to lowest terms.
Letand be two convergent geometric series. If b and v are both nonzero, prove that is a geometric series. What condition(s) must be met for this series to converge?
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.
35.
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.
37.
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.
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