Chapter 7: Q. 19 (page 615)
Find two divergent geometric series and with all positive terms such that converges.
Short Answer
Ans:
part (a). The divergent geometric series
part (b). The divergent geometric series
part (c). The series is converge
Chapter 7: Q. 19 (page 615)
Find two divergent geometric series and with all positive terms such that converges.
Ans:
part (a). The divergent geometric series
part (b). The divergent geometric series
part (c). The series is converge
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Get started for freeDetermine whether the series converges or diverges. Give the sum of the convergent series.
Use any convergence test from this section or the previous section to determine whether the series in Exercises 31–48 converge or diverge. Explain how the series meets the hypotheses of the test you select.
Find the values of x for which the series converges.
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
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