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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 I.) For all n > 1. n In(n) In(n) <2, and the series 2 E diverges, so by the Comparison Test, the series E Mm diverges. n In(n) In(n) diverges. For all n > 2 > and the series E diverges, so by the Comparison Test, the series For all n > 2. 73 6 and the series 2 E converges, so by the Comparison Test, the series , 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 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.) For all n > 1. n In(n) In(n) <2, and the series 2 E diverges, so by the Comparison Test, the series E Mm diverges. n In(n) In(n) diverges. For all n > 2 > and the series E diverges, so by the Comparison Test, the series For all n > 2. 73 6 and the series 2 E converges, so by the Comparison Test, the series , converges.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 55E
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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 I.) For all n > 1. and the series 2 E diverges, so by the Comparison Test, the series Ema diverges. n In(n) In(n) For all n > 2, n In(n) In (n) -, and the series E diverges, so by the Comparison Test, the series E diverges. For all n > 2, < , and the series 2E converges, so by the Comparison Test, the series E. 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 I.) For all n > 1. and the series 2 E diverges, so by the Comparison Test, the series Ema diverges. n In(n) In(n) For all n > 2, n In(n) In (n) -, and the series E diverges, so by the Comparison Test, the series E diverges. For all n > 2, < , and the series 2E converges, so by the Comparison Test, the series E. converges.
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