Chapter 7: Q 55. (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 55. (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 freeIn Exercises 48–51 find all values of p so that the series converges.
Determine whether the series converges or diverges. Give the sum of the convergent series.
Consider the series
Fill in the blanks and select the correct word:
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.
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.
37.
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