Series Comparison Test, URGENT help? 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. 1. For all n>2, ∑ 1/ (n^2−1) < 1/n^2 so converges 2. For all n> 1, ∑ arctan(n) / n^3 < pi / 2n^3 so converges 3. For all n>1, ∑ ln(n)/n^2 < 1/n^1.5 so converges 4. For all n>1, ∑ 1/nln(n) < 2/n so diverges 5. For all n>2, ∑ n/(n^3 - 8) < 2/n^2 so converges 6. For all n>2, ∑ ln(n)/n > 1/n so diverges I belive (1) is incorrect. (2), (3), and (6) I believe are correct. But I can't figure out 4 and 5 ? I think 4 is incorrect but i'm not sure, and for 5 shouldn't it be compared to 1/n^2 ? Please help!