![subject](/tpl/images/cats/mat.png)
Mathematics, 29.02.2020 02:01 ricardodeleon152
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 ∑1/n diverges, so by the Comparison Test, the series ∑ln/(n)n diverges.
2. For all n>1, arctan(n)/n3<π2n3, and the series π/2∑1/n3 converges, so by the Comparison Test, the series ∑arctan(n)/n3 converges.
3. For all n>1, n/(2−n3)<1n2, and the series ∑1/n2 converges, so by the Comparison Test, the series ∑n/(2−n3) converges.
4. For all n>1, ln(n)/n2<1/n1.5, and the series ∑1/n1.5 converges, so by the Comparison Test, the series ∑ln(n)/n2 converges.
5. For all n>1, 1/nln(n)<2/n, and the series 2∑1/n diverges, so by the Comparison Test, the series ∑1/nln(n) diverges.
6. For all n>2, 1/(n2−7)<1/n2, and the series ∑1/n2 converges, so by the Comparison Test, the series ∑1/(n2−7) converges.
![ansver](/tpl/images/cats/User.png)
Answers: 2
Another question on Mathematics
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 19:20
Which number completes the system of linear inequalities represented by the graph? y> 2x – 2 and x + 4y 2 et 2 3 4
Answers: 3
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 20:30
If g^-1(x) is the inverse of g (x) which statement must be true
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](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 22.07.2019 18:00
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/himiya.png)
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 22.07.2019 18:00
![question](/tpl/images/cats/en.png)
English, 22.07.2019 18:00
![question](/tpl/images/cats/mat.png)
Mathematics, 22.07.2019 18:00
![question](/tpl/images/cats/es.png)
Spanish, 22.07.2019 18:00
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/geografiya.png)
Geography, 22.07.2019 18:00
![question](/tpl/images/cats/obshestvoznanie.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 22.07.2019 18:00
![question](/tpl/images/cats/mat.png)
Mathematics, 22.07.2019 18:00
![question](/tpl/images/cats/mat.png)
Mathematics, 22.07.2019 18:00
![question](/tpl/images/cats/obshestvoznanie.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 22.07.2019 18:00
![question](/tpl/images/cats/mat.png)