Chapter 7: Q. 67 (page 641)
Prove that the ratio test will be inconclusive on every series of the form is a rational function of k.
Short Answer
Hence, proved.
Chapter 7: Q. 67 (page 641)
Prove that the ratio test will be inconclusive on every series of the form is a rational function of k.
Hence, proved.
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If a positive finite number, what may we conclude about the two series?
Determine whether the series converges or diverges. Give the sum of the convergent series.
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.
Prove Theorem 7.25. That is, show that the series either both converge or both diverge. In addition, show that if converges to L, thenconverges tolocalid="1652718360109"
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