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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 staten 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 m enter I.) 1. For all n > e, 2. For all n > 2, 3. For all n > 1, 4. For all ne, In(n) >, and the series n² < n²-3 n²¹ arctan(n) n³ In(n) < n > and the series x 2n3 and the series 1 , and the series n n In(n) n² converges. converges, so by the Comparison Test, the series converges, so by the Comparison Test, the series 3 converges. arctan(n) converges, so by the Comparison Test, the series Σ n²-3 n3 In(n) diverges, so by the Comparison Test, the series > diverges. n converges.

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 staten 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 m enter I.) 1. For all n > e, 2. For all n > 2, 3. For all n > 1, 4. For all ne, In(n) >, and the series n² < n²-3 n²¹ arctan(n) n³ In(n) < n > and the series x 2n3 and the series 1 , and the series n n In(n) n² converges. converges, so by the Comparison Test, the series converges, so by the Comparison Test, the series 3 converges. arctan(n) converges, so by the Comparison Test, the series Σ n²-3 n3 In(n) diverges, so by the Comparison Test, the series > diverges. n converges.

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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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 > e, 2. For all n > 2, 3. For all n > 1, 4. For all n > e, In(n) n² 1 n²-3 arctan(n) n3³ In(n) n 1 > 2, and the series Σ < n² 3 and the series < , " I 2n3 n² 1 >, and the series n n² and the series n In(n) converges, so by the Comparison Test, the series Σ converges. n² converges, so by the Comparison Test, the series Σ n²-3 converges, so by the Comparison Test, the series In(n) n converges. arctan(n) n3 n3 diverges, so by the Comparison Test, the series > diverges. converges.
Transcribed Image Text: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 > e, 2. For all n > 2, 3. For all n > 1, 4. For all n > e, In(n) n² 1 n²-3 arctan(n) n3³ In(n) n 1 > 2, and the series Σ < n² 3 and the series < , " I 2n3 n² 1 >, and the series n n² and the series n In(n) converges, so by the Comparison Test, the series Σ converges. n² converges, so by the Comparison Test, the series Σ n²-3 converges, so by the Comparison Test, the series In(n) n converges. arctan(n) n3 n3 diverges, so by the Comparison Test, the series > diverges. converges.
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