Mathematics, 21.03.2020 09:35, madisonsolis05
Each of the following statements is an attempt to show that a given series is convergent or divergent not 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. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.)
1. For all n>2, ln(n)/n>1n, and the series β1/n diverges, so by the Comparison Test, the series βln/(n)n diverges.
2. For all n>1, arctan(n)/n3<Ο2n3, and the series Ο/2β1/n3 converges, so by the Comparison Test, the series βarctan(n)/n3 converges.
3. For all n>1, n/(2βn3)<1n2, and the series β1/n2 converges, so by the Comparison Test, the series βn/(2βn3) converges.
4. For all n>1, ln(n)/n2<1/n1.5, and the series β1/n1.5 converges, so by the Comparison Test, the series βln(n)/n2 converges.
5. For all n>1, 1/nln(n)<2/n, and the series 2β1/n diverges, so by the Comparison Test, the series β1/nln(n) diverges.
6. For all n>2, 1/(n2β7)<1/n2, and the series β1/n2 converges, so by the Comparison Test, the series β1/(n2β7) converges.
Answers: 3
Mathematics, 21.06.2019 19:50, JS28boss
The probability that a student graduating from suburban state university has student loans to pay off after graduation is .60. if two students are randomly selected from this university, what is the probability that neither of them has student loans to pay off after graduation?
Answers: 2
Mathematics, 21.06.2019 20:00, yesseniaroman21
Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?
Answers: 1
Mathematics, 21.06.2019 21:50, Animallover100
What is the missing reason in the proof? segment addition congruent segments theorem transitive property of equality subtraction property of equality?
Answers: 3
Each of the following statements is an attempt to show that a given series is convergent or divergen...
Advanced Placement (AP), 31.01.2021 09:40
Mathematics, 31.01.2021 09:40
Mathematics, 31.01.2021 09:40
Social Studies, 31.01.2021 09:40
Mathematics, 31.01.2021 09:40
Mathematics, 31.01.2021 09:40