Each of the following statements is an attempt to show that a given series is convergent or divergent using theComparison 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 thatled to it was wrong, you must enter I.)In(n)1. For all n > 2, ¹n(n)>, and the series converges, so by the Comparison Test, the series >converges.2. For all n > 1,converges.3. For all n > 2,n6-n³In(n)n7217and the series4. For all n > 2,<2,converges, so by the Comparison Test, the series >converges.15. For all n > 1, nln(n) < 2/2, and the series 2 Σdiverges.6. For all n > 2,²8 <2, and the series Σconverges.726-n³and the seriesand the series 2Σ converges, so by the Comparison Test, the series Σ -72diverges, so by the Comparison Test, the series ΣIn(n)converges, so by the Comparison Test, the series Σ7²-8In(n)diverges, so by the Comparison Test, the series > diverges.

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Answered: Each of the following statements is an…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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 ! (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.) converges. In(n) 1. For all n>2 > and the series 2. For all n arctan(n) 72³ 3. For all n >1. 2₂ converges, so by the Comparison Test, the series > 6 1² converges. converges, so by the Comparison Test, the series converges, so by the Comparison Test the series converges, so by the Comparison Test, the series converges, so by the Comparison Test, the series converges. converges. converges. arctan(n) 7³ n² 4 converges In(n) 72²
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.) 1. For all n > 2,¹ 1,6³ 1, 27³ and the series 15, and the series converges, so by the Comparison Test, the series and the series 2 Σ diverges, so by the Comparison Test, the series > 2/2 n 4. For all n > 1, 5. For all n > 1, 6. For all n > 2, arctan(n) n2³ In(n) 7² (n) (n)>, and the series converges. converges. arctan(n) converges. n.³ In(n) - converges. 7² diverges. nln(n) In(n) converges, so by the Comparison Test, the series (1) converges.
if you want good feedback, do it all :)
2a. PLEASE WRITE CLEARLY
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.) 1. For all n > 1, く 3-n n2 5, and the series E converges, so by the Comparison Test, the series E converges. 3-n In(n) In(n) 2. For all n > 1, く is , and the series converges, so by the Comparison Test, the series converges. n2 In(n) converges. In(n) 3. For all n > 2, and the series E converges, so by the Comparison Test, the series E n 1 4. For all n > 1, , and the series 2 E diverges, so by the Comparison Test, the series E diverges. n In(n) In(n) 5. For all n > 2, n In(n) In(n) diverges. , and the series E diverges, so by the Comparison Test, the series n 6. For all n > 2, - n2-6 , and the…
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.) 1 1. For all n > 2, A n n3-4 converges. 1 2. For all n > 2, 5 1 and the series > n? converges, so by the Comparison n2 , 1 n2-5 converges. In(n) Test, the series > 3. For all n > 1, n2 1 n1.5 and the series > n1.5 1 converges, so by the Comparison C Test, the series > In(n) n2 converges. 1 n2 , 4. For all n > I, 5-n3 and the series E, converges, so by the Comparison 1 n2 Test, the series > n 5-n³ converges. arctan(n) n3 5. For all n > 1, and the series 7) n3 1 converges, so by the 2n3 2 Comparison Test, the series arctan(n) n3 converges. 1 6. For all n > 1, n In(n) < 2, and the series 2 diverges,…
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, 1,6 1, arctan(n) 72³ In(n) 23, and the series 4. For all n > 1 5. For all n > 1, nln(n) converges. In(n) 6. For all n > 2, In(n) 7² 2, and the series 7² converges, so by the Comparison Test, the series > converges. In(n) 7² converges

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