Chapter 7: Q. 69 (page 654)
Prove that if the series diverges, then the series also diverges.
Short Answer
The series is convergent
The seriesis divergent
Chapter 7: Q. 69 (page 654)
Prove that if the series diverges, then the series also diverges.
The series is convergent
The seriesis divergent
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Get started for freeExplain why a function a(x) has to be continuous in order for us to use the integral test to analyze a series for convergence.
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.
If a positive finite number, what may we conclude about the two series?
Provide a more general statement of the integral test in which the function f is continuous and eventually positive, and decreasing. Explain why your statement is valid.
Determine whether the series converges or diverges. Give the sum of the convergent series.
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