Answer Happy

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, In(n) 7 2. For all n > 1. do nln(n) In(n) 3. For all n > 2 n In(n) , and the series 7 diverges, so by the Comparison Test, the series e hom diverges. In(n) , and the series 2. diverges, so by the Comparison Test, the series nln(n) diverges. and the series Econverges, so by the Comparison Test, the series converges. , and the series converges, so by the Comparison Test, the series arctan(n) converges. th, and the series 2 in converges, so by the Comparison Test, the series a converges. nis, and the series En converges, so by the Comparison Test, the series L ne converges 4. For all n >1, arctan(n) 72 5. For all h> < In(n) n2 In(n) 6. For all n > 1 2 Note: In order to get credit for this problem all answers must be correct.