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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
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 | (for "incorrect") if any part of the argument is flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.) arctan(n) 7t 11' 1 [31. For all n > 1, 2, 6 and the series 2712 converges, so by the Comparison Test, the series (In2 ' converges. Z \"21 _ 6 V7; + 1 1 1 Us. For all n > 2, > , and the series diverges, so by the Comparison Test, the series 7?. x+1 n n : n 1 2 1 [34. For all n > 1, 2, 1,, and the series 2712 converges, so by the Comparison Test, the series 7 nn3 (\"n2 converges. Zn7'n3 Match the following series with the series below in which you can compare using the Limit Comparison Test. Then determine whether the series converge or diverge. Oo A. B. C. n2 1 and D. n n=] n= n= n=1 In E n 1 . Does this series converge or diverge? n2 +n+1 Diverges n=1 H 2. Does this series converge or diverge? Converges 2n3 + 8 n=1 3. Does this series converge or diverge? Diverges n= 2 n - vn OO Vn 4. Does this series converge or diverge? V n - 1 Diverges n=2
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