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

Question

(1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent not using the Comparisor Test (NOT the Limit Comparison Test.) For each statement, enter C (for "correct") if the argument is valid, or enter l (for "incorrect") if an part of the argument is flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter l.) l, artan(n) S., andtheseries ? ? 1 converges, soby the Om parison 3 converges, so by the Comparison Test, the series 1. For all n > 1 2n arctan(n) n3 converges n+11 2t lis dver, o by te Comparison >, and the series - diverges, so by the Comparison Test, the series diverges 3. For all n> l, 2,- 2, and the series 7 converges, so by the Comparison Test, the series n2 converges sim(n)?l ?1 converges, soby the omparison Test, the series ? sin2n) 6. For all n>1, , and the series converges

Explanation / Answer

1. C
2. C
3. I, the reason is incorrect. This series converges absolutely.
4. C
5. I, the reason is incorrect.
6. C

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