(1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent using th

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1 Point Each Of The Following Statements Is An Attempt To Show That A Given Series Is Convergent Or Divergent Using Th 1 (153.7 KiB) Viewed 31 times

(1 point) 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.) In(n) с 1. For all n > 2, > 1/1, and the series Σ diverges, so by the Comparison Test, the n n n series Σ diverges. n C 2. For all n > 1, 1 < and the series Σ " converges, so by the Comparison Test, the 7-n³ n² n² series Σ converges. 3. For all n > 1, 1 < n ln(n) n and the series 2 Σ diverges, so by the Comparison Test, the " n 1 series Σ diverges. n ln(n) In(n) C 4. For all n > 1, 1 1 and the series Σ " converges, so by the Comparison Test, the n² n¹.5 n1.5 series Σ converges. In(n) n² n C 5. For all n > 2, and the series 2 Σ , " n³-4 converges, so by the Comparison Test, n the series Σ converges. n³-4 6. For all n > 2, 1 n²-4 converges, so by the Comparison Test, the n² series Σ converges. 1 n²-4 In(n) n n 7-n³ < n² < and the series Σ " n² Ť