Each of the following statements is an attempt to show that a given series is co

Question

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 > 1, 1/n In (n) 2, In (n)/n^2 > and the series sigma 1/n^2 converges, so by the Comparison Test, the series sigma In (n)/n^2 converges. 3. For all n > 2, 1/n^2 - 3 1, arctan (n)/n^3 1, In (n)/n^2 2, n/n^3 - 3

Explanation / Answer

1. correct

2. correct

3.in correct ; since 1/ n^2 -3 > 1 / n^2 ;

4.correct

5.correct

6. correct

I am sending only answers as they have given already statements about convergence of statements.

I cant explain all the six which take a lot of time.

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