Chapter 7: Q. 16 (page 603)
Give examples of sequences satisfying the given conditions or explain why such an example cannot exist.
A bounded and convergent sequence that is not eventually monotonic.
Short Answer
An example is.
Chapter 7: Q. 16 (page 603)
Give examples of sequences satisfying the given conditions or explain why such an example cannot exist.
A bounded and convergent sequence that is not eventually monotonic.
An example is.
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Get started for freeDetermine whether the series converges or diverges. Give the sum of the convergent series.
Let be a continuous, positive, and decreasing function. Complete the proof of the integral test (Theorem 7.28) by showing that if the improper integral converges, then the series localid="1649180069308" does too.
Explain 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.
Explain why a function a(x) has to be continuous in order for us to use the integral test to analyze a series for convergence.
Prove that if converges to L and converges to M , then the series.
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