Chapter 7: Q. 29 (page 592)
In Exercises, find a plausible formula for the general term of the given sequence.
Short Answer
The plausible formula for the general term of the sequence iswhere
Chapter 7: Q. 29 (page 592)
In Exercises, find a plausible formula for the general term of the given sequence.
The plausible formula for the general term of the sequence iswhere
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Get started for freeLet 0 < p < 1. Evaluate the limit
Explain why we cannot use a p-series with 0 < p < 1 in a limit comparison test to verify the divergence of the series
For a convergent series satisfying the conditions of the integral test, why is every remainder positive? How can be used along with the term from the sequence of partial sums to understand the quality of the approximation ?
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.
Find the values of x for which the series converges.
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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