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 not 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, 1/n^2 - 5 2, Squareroot n + 1/n > 1/n^2, and the series sigma 1/n diverges, so by the Comparison Test, the series sigma Squareroot n + 1/n diverges. For all n > 1, 1/n In (n) 2, n/n^3 - 2 2, sin^2(n)/n^2 2, sin^2(n)/n^2

Explanation / Answer

1) First statement is true. option C

2) The statment is false option is I

3) The statment is false option is I

4) The statment is true option is C

5) The statment is true option is C

6) The statment is true option is C

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