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.) converges. In(n) 1. For all n > 1, () <15, and the series Σ converges, so by the Comparison Test, the series Σ converges. n² 2. For all n > 2, In(n) n² 3. For all n > 2, and the series , and the series 28, and the series > 4. For all n > 2, < 5. For all n > 1, nln(n) <2, and the series 2 Σ <2, and the series 6. For all n > 1, arctan(n) n³ In(n) n In(n) n² > In(n) n² converges. n converges, so by the Comparison Test, the series Σ diverges, so by the Comparison Test, the series (n) diverges. converges, so by the Comparison Test, the series Σ converges. diverges, so by the Comparison Test, the series Σnn(n) diverges. converges, so by the Comparison Test, the series - arctan(n) n3

2a.  PLEASE WRITE CLEARLY

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 > 1, く 3-n n2 5, and the series E converges, so by the Comparison Test, the series E converges. 3-n In(n) In(n) 2. For all n > 1, く is , and the series converges, so by the Comparison Test, the series converges. n2 In(n) converges. In(n) 3. For all n > 2, and the series E converges, so by the Comparison Test, the series E n 1 4. For all n > 1, , and the series 2 E diverges, so by the Comparison Test, the series E diverges. n In(n) In(n) 5. For all n > 2, n In(n) In(n) diverges. , and the series E diverges, so by the Comparison Test, the series n 6. For all n > 2, - n2-6 , and the…

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 1. For all n > 2, A n n3-4 converges. 1 2. For all n > 2, 5 1 and the series > n? converges, so by the Comparison n2 , 1 n2-5 converges. In(n) Test, the series > 3. For all n > 1, n2 1 n1.5 and the series > n1.5 1 converges, so by the Comparison C Test, the series > In(n) n2 converges. 1 n2 , 4. For all n > I, 5-n3 and the series E, converges, so by the Comparison 1 n2 Test, the series > n 5-n³ converges. arctan(n) n3 5. For all n > 1, and the series 7) n3 1 converges, so by the 2n3 2 Comparison Test, the series arctan(n) n3 converges. 1 6. For all n > 1, n In(n) < 2, and the series 2 diverges,…