Chapter 7: Q. 8 (page 655)
Some Convergent Sequences Involving Exponents: For any real number p > 0, the following sequences converge. Fill in each blank with the appropriate value.
Short Answer
The required answer is
Chapter 7: Q. 8 (page 655)
Some Convergent Sequences Involving Exponents: For any real number p > 0, the following sequences converge. Fill in each blank with the appropriate value.
The required answer is
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Get started for freeIfconverges, explain why we cannot draw any conclusions about the behavior of.
Find the values of x for which the series converges.
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.
Find the values of x for which the series converges.
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
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