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

ID: 3137577 • Letter: #

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 Lim Comparison Test.) For each statement, enter C (for "correct") if the argument is valid, or enterI (or "incorrect") if any part of the argument is flawed. (N if the conclusion is true but the argument that led to it was wrong, you must enter l.) 2, and the series 2 n2 In(n) In(n) n2 1.5 In(n) n2 5. For all n > 2, tm > , and the series ? converges, so by the Comparison Test, the series ? 1 n) converges. 6. For all n > 1, and the series 2converges, so by the Comparison Test, the serinverges In(n)1 arctan(n) arctan(n)

Explanation / Answer

By the statement of comparison test .

1 is false

2 is true

3 is true

4 is true

5. False . Converse is not true

6. True