Chapter 7: Q. 26 (page 639)
Simplify the quotients in Exercises 21–28 without using a calculator.
The value is
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For each series in Exercises 44–47, do each of the following:
(a) Use the integral test to show that the series converges.
(b) Use the 10th term in the sequence of partial sums to approximate the sum of the series.
(c) Use Theorem 7.31 to find a bound on the tenth remainder .
(d) Use your answers from parts (b) and (c) to find an interval containing the sum of the series.
(e) Find the smallest value of n so that.
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 71–78 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.
Ifconverges, explain why we cannot draw any conclusions about the behavior of.
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