Chapter 7: Q. 19 (page 615)
Find two divergent geometric series and with all positive terms such that converges.
Short Answer
Ans:
part (a). The divergent geometric series
part (b). The divergent geometric series
part (c). The series is converge
Chapter 7: Q. 19 (page 615)
Find two divergent geometric series and with all positive terms such that converges.
Ans:
part (a). The divergent geometric series
part (b). The divergent geometric series
part (c). The series is converge
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Use 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.
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.
Given thatand, find the value of.
Use any convergence test from this section or the previous section to determine whether the series in Exercises 31–48 converge or diverge. Explain how the series meets the hypotheses of the test you select.
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