Question

(1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent by 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 l.) In(n) > 1, , and the series Σ converges, so by the Comparison Test, the series Σ-nn) converges. - со n2 arctan(n), and the series n3 In(n) 1 n2 arctan(n) 2. For alln > 1, c 3. For all n > 2, eries 4, For all n > 2,--<1, and t converges, so by the Comparison Test, the series converges 2n3 In(n) diverges, so by the Comparison Test, the series diverges Σ converges converges, so by the Comparison Test, the series n2-6 nd the series the series 2 2 converges so by the Comparison Test, the series converges. Comparison Test, the series Σ n, converges. 5. For all n > 1, ĩ_ < 3-n3 6. For all n > 2,しく-, and the series 2 Σ-converges, so by the С

Answer 1

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