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(1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent not using the Comparison Test

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(1 point) 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. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.) n 1. For all n > 1, 1 - 13 E n , and the series converges, so by the Comparison Test, the series _ 1 - n3 converges. 2. For all n > 1, arctan(n) 2, - 1, sin (n) , and the series E E sin (n) 1, - diverges, so by the Comparison Test, the series diverges. n log(n) n n log(n) 6. For all n > 2, Vn + 1 - diverges, so by the Comparison Test, the series E Vn + 1 > -, and the series diverges. n n n

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