(1 point) Each of the following statements is an attempt to show that a given se
ID: 2887725 • 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 Limit Comparison Test.) For each statement, enter C (for "correct") if the argument is valid, or enter l (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 l.) ? Inn) diverges diverges, so by the Comparison Test, the series converges, so by the Comparison Test, the series ? n1 converges ?-li converges, so by the Comparison Test, the series , and the series 2 ? 2. For all n > 2, nn. 3. For alln1, a na 9 n3 9 arctan(n arctan(n) , and the series converges 4. For all n > 2, ?1 6 1,Explanation / Answer
(1)
Correct
because it satifies comparison test
(2)
correct
because it satifies comparison test
(3)
Correct
because it satifies comparison test
(4)
correct
because it satifies comparison test
(5)
Incorrect
because it does not satify comparison test
(6)
incorrect
because it does not satify comparison test
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