Chapter 7: Q. 1TF (page 594)
Consider the sequence
, is a sequence of sums. In Chapter
Short Answer
For the sequence
The value of
Chapter 7: Q. 1TF (page 594)
Consider the sequence
, is a sequence of sums. In Chapter
For the sequence
The value of
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Get started for freeExplain 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.
Use either the divergence test or the integral test to determine whether the series in Given Exercises converge or diverge. Explain why the series meets the hypotheses of the test you select.
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.
Improper Integrals: Determine whether the following improper integrals converge or diverge.
For each series in Exercises 44–47, do each of the following:
(a) Use the integral test to show that the series converges.
(b) Use the 10th term in the sequence of partial sums to approximate the sum of the series.
(c) Use Theorem 7.31 to find a bound on the tenth remainder,
(d) Use your answers from parts (b) and (c) to find an interval containing the sum of the series.
(e) Find the smallest value of n so that localid="1649224052075"
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