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.) n C 1. For all n > 2, 12 < 22, and the series 1 3 n-9 2 converges, so by the Comparison Test, the n n series 3-2-9 converges. 2. For all n > 1, arctan(n) 23 T < T 1 series 2n31 and the series converges, so by the Comparison Test, the arctan(n) n converges. n 3. For all n > 1, 4773 < 112, and the series 1 converges, so by the Comparison Test, the n series 7 3 converges. 4-n 4. For all n > 2, In(n) > 112, and the series n2 converges, so by the Comparison Test, the In(n) series converges. n2 5. For all n > 1, In(n) < 15, and the series n2 1.5 converges, so by the Comparison Test, the In(n) series n converges. 6. For all n > 2, 21-2 < 12, and the series n-2 1 converges, so by the Comparison Test, the 1 series 2-2 converges.