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.) 1. For all n>2, < ' n-4 and the series converges, so by the Comparison Test, the series 1 n-4 converges. 2. For all n 2, In(n) n2 1 and the series n2 converges, so by the Comparison Test, the series In(n) converges. n 1 n2 1 < n2. and the series n2 converges, so by the Comparison Test, the series 4-n n converges. 4. For all n > 2, n n n T 5. For all n > 1, < and the series n3 2n3 3. For all n> 1, 4-n n+1 arctan(n) n+1 >- and the series diverges, so by the Comparison Test, the series diverges. n converges, so by the Comparison Test, the series n arctan(n) n converges. n 2 6. For all n > 2, < n3-5 and the series 2 12 n converges, so by the Comparison Test, the series n converges.