Chapter 7: Q. 18 (page 631)
If and diverges, explain why we cannot draw any conclusions about the behavior of.
Chapter 7: Q. 18 (page 631)
If and diverges, explain why we cannot draw any conclusions about the behavior of.
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Get started for freeUse the divergence test to analyze the given series. Each answer should either be the series diverges or the divergence test fails, along with the reason for your answer.
In Exercises 48–51 find all values of p so that the series converges.
What is the contrapositive of the implication “If A, then B"?
Find the contrapositives of the following implications:
If a divides b and b dividesc, then a divides c.
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.
Explain why, if n is an integer greater than 1, the series diverges.
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