subject
Mathematics, 05.08.2020 05:01 diamondalize21p84czi

Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C (for "correct") if the argument is valid, or enter I (for "incorrect") if any part of the argument is flawed. a. For all n>2, ln(n)/n>1n, and the series βˆ‘1/n diverges, so by the Comparison Test, the series βˆ‘ln/(n)n diverges. b. For all n>1, arctan(n)/n3<Ο€2n3, and the series Ο€/2βˆ‘1/n3 converges, so by the Comparison Test, the series βˆ‘arctan(n)/n3 converges. c. For all n>1, n/(2βˆ’n3)<1n2, and the series βˆ‘1/n2 converges, so by the Comparison Test, the series βˆ‘n/(2βˆ’n3) converges. d. For all n>1, ln(n)/n2<1/n1.5, and the series βˆ‘1/n1.5 converges, so by the Comparison Test, the series βˆ‘ln(n)/n2 converges. e. For all n>1, 1/nln(n)<2/n, and the series 2βˆ‘1/n diverges, so by the Comparison Test, the series βˆ‘1/nln(n) diverges. f. For all n>2, 1/(n2βˆ’7)<1/n2, and the series βˆ‘1/n2 converges, so by the Comparison Test, the series βˆ‘1/(n2βˆ’7) converges.

ansver
Answers: 2

Another question on Mathematics

question
Mathematics, 21.06.2019 20:00
Ialready asked this but i never got an answer. will give a high rating and perhaps brainliest. choose the linear inequality that describes the graph. the gray area represents the shaded region. y ≀ –4x – 2 y > –4x – 2 y β‰₯ –4x – 2 y < 4x – 2
Answers: 1
question
Mathematics, 21.06.2019 22:00
You buy 4 items that cost 2.69 14.45 8.05 13.95 what is the estimated total round to the nearest dollar
Answers: 1
question
Mathematics, 21.06.2019 23:30
Darren earned $663.26 in net pay for working 38 hours. he paid $118.51 in federal and state income taxes, and $64.75 in fica taxes. what was darren's hourly wage? question options: $17.45 $19.16 $20.57 $22.28
Answers: 3
question
Mathematics, 22.06.2019 01:50
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 1.7 days. what is the probability of spending more than 2 days in recovery? (round your answer to four decimal places.)
Answers: 3
You know the right answer?
Each of the following statements is an attempt to show that a given series is convergent or divergen...
Questions
question
Spanish, 22.10.2020 14:01
question
Physics, 22.10.2020 14:01
question
Biology, 22.10.2020 14:01
question
Mathematics, 22.10.2020 14:01
question
Mathematics, 22.10.2020 14:01
question
Mathematics, 22.10.2020 14:01
question
Physics, 22.10.2020 14:01
question
Mathematics, 22.10.2020 14:01
Questions on the website: 13722366