Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparis

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Each Of The Following Statements Is An Attempt To Show That A Given Series Is Convergent Or Divergent Using The Comparis 1 (42.08 KiB) Viewed 37 times

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 I.) 12 5 In() 72 1 12-7 1 In(n) 1. For all n > 2, 1. and the series diverges, so by the Comparison Test, the series diverges. 2. For all n > 2, n.7 < , and the series converges, so by the Comparison Test, the series and converges. 3. For all n > 2, "3 < and the series 2 converges, so by the Comparison Test, the series in converges. 4. For all n > 1, n ln(n) Ź and the series 21 diverges, so by the Comparison Test, the series E ln(n) diverges. In(n) 5. For all n >1 < ... and the series en converges, so by the In(n) Comparison Test, the series 6. For all n > 1,2 <, and the series is converges, so by the Comparison Test, the series that converges. 1 12 n_3 2 n 1 720 converges. 12