Mathematics
Mathematics, 03.03.2020 01:01, haileysolis5

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.

answer
Answers: 2

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 15:30, dashaunpeele
Avegetable garden and a surrounding path are shaped like a square that together are 11ft wide. the path is 2ft wide. find the total area of the vegetable garden and path
Answers: 1
image
Mathematics, 21.06.2019 18:50, umarhaley
The avenues in a particular city run north to south and are numbered consecutively with 1st avenue at the western border of the city. the streets in the city run east to west and are numbered consecutively with 1st street at the southern border of the city. for a festival, the city is not allowing cars to park in a rectangular region bordered by 5th avenue to the west. 9th avenue to the east, 4th street to the south, and 6th street to the north. if x is the avenue number and yis the street number, which of the following systems describes the region in which cars are not allowed to park? 5th ave 9th ave
Answers: 1
image
Mathematics, 21.06.2019 18:50, anthonylemus36
Jermaine has t subway tokens. karen has 4 more subway tokens than jermaine. raul has 5 fewer subway tokens than jermaine. which expression represents the ratio of karen's tokens to raul's tokens
Answers: 1
image
Mathematics, 21.06.2019 20:30, amyaacrawford86
Solve each quadratic equation by factoring and using the zero product property. 14x - 49 = x^2
Answers: 2
Do you know the correct answer?
Each of the following statements is an attempt to show that a given series is convergent or divergen...

Questions in other subjects:

Konu
Computers and Technology, 05.05.2021 20:40