Chapter 7: Q.1 b) (page 630)
consider the statement if for every x>0 and, then the improper integrals both converge. The objective is to determine whether statement is true or false.
Short Answer
False
Chapter 7: Q.1 b) (page 630)
consider the statement if for every x>0 and, then the improper integrals both converge. The objective is to determine whether statement is true or false.
False
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
Letand be two convergent geometric series. If b and v are both nonzero, prove that is a geometric series. What condition(s) must be met for this series to converge?
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.
In Exercises 48–51 find all values of p so that the series converges.
What do you think about this solution?
We value your feedback to improve our textbook solutions.