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. For all n > 2, n/n^3 - 2 1, arctan(n)/n^3 2, n/n^2 - 8 2, ln(n)/n > 1/n, and the series 2 sigma 1/n converges, so by the Comparison Test, the series sigma ln(n)/n diverges. For all n > 1, n/6 -n^3 1, 1/n ln(n)

Explanation / Answer

1........Incorrect(I)

2........Correct(C)

3........Correct(C)

4........Correct(C)

5........Correct(C)

6........Correct(C)

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