Chapter 7: Q. 48 (page 625)
In Exercises 48–51 find all values of p so that the series converges.
Chapter 7: Q. 48 (page 625)
In Exercises 48–51 find all values of p so that the series converges.
All the tools & learning materials you need for study success - in one app.
Get started for freeFor 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.
What is meant by the remainder of a series
Explain how you could adapt the integral test to analyze a series in which the function is continuous, negative, and increasing.
Prove Theorem 7.25. That is, show that the series either both converge or both diverge. In addition, show that if converges to L, thenconverges tolocalid="1652718360109"
What do you think about this solution?
We value your feedback to improve our textbook solutions.