Chapter 7: Q. 50 (page 625)
In Exercises 48–51 find all values of p so that the series converges.
Chapter 7: Q. 50 (page 625)
In Exercises 48–51 find all values of p so that the series converges.
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Determine whether the series converges or diverges. Give the sum of the convergent series.
Prove Theorem 7.31. That is, show that if a function a is continuous, positive, and decreasing, and if the improper integral converges, then the nth remainder, , for the series is bounded by
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.
Determine whether the series converges or diverges. Give the sum of the convergent series.
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