Chapter 7: Q. 26 (page 615)
In Exercises 21–28 provide the first five terms of the series.
Short Answer
Ans: The five terms of the series are
Chapter 7: Q. 26 (page 615)
In Exercises 21–28 provide the first five terms of the series.
Ans: The five terms of the series are
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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.
Let f(x) be a function that is continuous, positive, and decreasing on the interval such that , What can the integral tells us about the series ?
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 32–43 converge or diverge. Explain why the series meets the hypotheses of the test you select.
36.
Let be a continuous, positive, and decreasing function. Complete the proof of the integral test (Theorem 7.28) by showing that if the improper integral converges, then the series localid="1649180069308" does too.
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