(1 point) Each of the following statements is an attempt to show that a given se

Question

(1 point) 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 l (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 l.) 1. For all n 1. arctan n TET, and the series YC converges, so by the Comparison Test, the series arctan (n) converges 2. For all n 1, In (n) and the series converges, so by the Comparison Test, the series converges 2 diverges, so by the Comparison Test, the series 3. For a n 1 diverges and the series n ln(n) n In(n) Inin diverges 2, Inta 1, and the series diverges, so by the comparison Test, the series 4. For a n 5. For all n 1, trT Tu, and the series converges, so by the Comparison Test, the series converges 6. For all m 2 n (n) 1 and the series Converges, so by the Comparison Test, the series In(n) converges

Explanation / Answer

Solution -

1. C Using comparison test it is correct .

2. C Using comparison test it is correct.

3. I

4) I

5) I

6) I

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