Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
At least one of the answers above is NOT correct. 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. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter 1.) I с I C I I 1. For all n > 2,8 < 22, and the series 2Σ converges, so by the Comparison Test, the series Σ converges, so by the Comparison Test, the series Σ converges. converges. 2. For all n> 1, ¹¹², < 6-1³ and the series 3. For all n>1 arctan(n) converges. 72³ In(n) 15, and the series converges, so by the Comparison Test, the series converges. nln(n) converges. 4. For all n > 1 5. For all n > 1, 6. For all n > 2, arctan(n) 72² In(n) 72²<

At least one of the answers above is NOT correct. 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. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter 1.) I с I C I I 1. For all n > 2,8 < 22, and the series 2Σ converges, so by the Comparison Test, the series Σ converges, so by the Comparison Test, the series Σ converges. converges. 2. For all n> 1, ¹¹², < 6-1³ and the series 3. For all n>1 arctan(n) converges. 72³ In(n) 15, and the series converges, so by the Comparison Test, the series converges. nln(n) converges. 4. For all n > 1 5. For all n > 1, 6. For all n > 2, arctan(n) 72² In(n) 72²<

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
See similar textbooks
icon
Related questions
Question
At least one of the answers above is NOT correct. 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. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.) | C I C I I 1. For all n > 2, </ , and the series 2 Σ converges, so by the Comparison Test, the series 2. For all n > 1,6</ , and the series 3. For all n > 1, arctan(n) 72³ In(n) 23, and the series 4. For all n > 1 5. For all n > 1, nln(n) </2, and the series 2 Σ diverges, so by the Comparison Test, the series Σnin(n) diverges. converges, so by the Comparison Test, the series > converges. In(n) 6. For all n > 2, In(n) 7² 2, and the series 7² < 15, and the series converges, so by the Comparison Test, the series converges. converges. arctan(n) nª converges, so by the Comparison Test, the series > converges, so by the Comparison Test, the series > converges. In(n) 7² converges
Transcribed Image Text:At least one of the answers above is NOT correct. 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. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.) | C I C I I 1. For all n > 2, </ , and the series 2 Σ converges, so by the Comparison Test, the series 2. For all n > 1,6</ , and the series 3. For all n > 1, arctan(n) 72³ In(n) 23, and the series 4. For all n > 1 5. For all n > 1, nln(n) </2, and the series 2 Σ diverges, so by the Comparison Test, the series Σnin(n) diverges. converges, so by the Comparison Test, the series > converges. In(n) 6. For all n > 2, In(n) 7² 2, and the series 7² < 15, and the series converges, so by the Comparison Test, the series converges. converges. arctan(n) nª converges, so by the Comparison Test, the series > converges, so by the Comparison Test, the series > converges. In(n) 7² converges
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS