Chapter 7: Q. 26 (page 639)
Simplify the quotients in Exercises 21–28 without using a calculator.
Short Answer
The value is
Chapter 7: Q. 26 (page 639)
Simplify the quotients in Exercises 21–28 without using a calculator.
The value is
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Get started for freeFind the values of x for which the series converges.
Examples: Construct examples of the thing(s) described in the following. Try to find examples that are different than any in the reading.
(a) A divergent series in which .
(b) A divergent p-series.
(c) A convergent p-series.
Given a series , in general the divergence test is inconclusive when . For a geometric series, however, if the limit of the terms of the series is zero, the series converges. Explain why.
In Exercises 48–51 find all values of p so that the series converges.
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.
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