Chapter 7: Q 53. (page 615)
Determine whether the series converges or diverges. Give the sum of the convergent series.
Short Answer
The series converges to .
Chapter 7: Q 53. (page 615)
Determine whether the series converges or diverges. Give the sum of the convergent series.
The series converges to .
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Get started for freeUse 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.
Improper Integrals: Determine whether the following improper integrals converge or diverge.
Given a series , in general the divergence test is inconclusive when . For a geometric series, however, if the limit of the terms of the series is zero, the series converges. Explain why.
Find the values of x for which the seriesconverges.
Determine whether the series converges or diverges. Give the sum of the convergent series.
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