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

Explanation / Answer

(1) C    statement and argument both are correct

(2) C statement and argument both are correct

(3) C statement and argument both are correct

(4) I statement and argument both are incorrect

(5) I statement is correct but argument is incorrect

(6)C statement and argument both are correct

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