Chapter 7: Q. 4 (page 652)
Find an example of a divergent series of the form
(a) that satisfies conditions (i) and (iii), but not condition (ii);
(b) that satisfies conditions (i) and (ii), but not condition (iii).
Short Answer
(i)
Chapter 7: Q. 4 (page 652)
Find an example of a divergent series of the form
(a) that satisfies conditions (i) and (iii), but not condition (ii);
(b) that satisfies conditions (i) and (ii), but not condition (iii).
(i)
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Get started for freeExplain 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.
Consider the series
Fill in the blanks and select the correct word:
Find the values of x for which the seriesconverges.
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.
Express each of the repeating decimals in Exercises 71–78 as a geometric series and as the quotient of two integers reduced to lowest terms.
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