Each of the following statements is an attempt to show that a given series is...
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Calculus
Each of the following statements is an attempt to show that a given series is convergent or divergent 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 1 For all n 2 converges 2 For all n 2 3 For all n 1 converges 4 For all n 2 5 For all n 1 arctan n n 6 For all n 2 converges 4 and the series converges so by the Comparison Test the series n In n n n 4 n n 1 converges n arctan n n n n 5 222 1 1 n 1 n 2 n2 and the series I and the series and the series 2n I n and the series and the series 2 n n T 2 converges so by the Comparison Test the series converges so by the Comparison Test the series diverges so by the Comparison Test the series 1 222 In n n n n 4 n n 1 n converges so by the Comparison Test the series converges converges so by the Comparison Test the series diverges n n2 5
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