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Fach 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, 2, and the series 2E diverges, so by the Comparison Test, the series E diverges. n In(n) In(n) >, and the series E diverges, so by the Comparison Test, the series E n In(n) In(n) diverges. 2. For all n > 2, 3. For all n > 2. n3-6 and the series 2 converges, so by the Comparison Test, the series . converges. n2 n2 na-6

Fach 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, 2, and the series 2E diverges, so by the Comparison Test, the series E diverges. n In(n) In(n) >, and the series E diverges, so by the Comparison Test, the series E n In(n) In(n) diverges. 2. For all n > 2, 3. For all n > 2. n3-6 and the series 2 converges, so by the Comparison Test, the series . converges. n2 n2 na-6

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Fach 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, 2, and the series 2 diverges, so by the Comparison Test, the series diverges. n In(n) In(n) 2. For all n > 2, n In(n) In(n) diverges. n 1 C *, and the series E diverges, so by the Comparison Test, the series E 3. For all n > 2, and the series 2 converges, so by the Comparison Test, the series converges. n3-6 n2 n2 n-6 arctan(n) arctan(n) C 4. For all n > 1 and the series E converges, so by the Comparison Test, the series converges. In(n) 5. For all n > 2, n2 In(n) and the series E converges, so by the Comparison Test, the series E converges. n2 n2 n? In(n) 6. For all n > 1 In(n) and the series converges, so by the Comparison Test, the series converges. n15
Transcribed Image Text:Fach 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, 2, and the series 2 diverges, so by the Comparison Test, the series diverges. n In(n) In(n) 2. For all n > 2, n In(n) In(n) diverges. n 1 C *, and the series E diverges, so by the Comparison Test, the series E 3. For all n > 2, and the series 2 converges, so by the Comparison Test, the series converges. n3-6 n2 n2 n-6 arctan(n) arctan(n) C 4. For all n > 1 and the series E converges, so by the Comparison Test, the series converges. In(n) 5. For all n > 2, n2 In(n) and the series E converges, so by the Comparison Test, the series E converges. n2 n2 n? In(n) 6. For all n > 1 In(n) and the series converges, so by the Comparison Test, the series converges. n15
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