Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(1 point) Each of the following statements is an attempt to show that a given se

ID: 2884864 • 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.) 2, all > 1, and the series ? n diverges, so by the In(n) Comparison Test, the series ? diverges by the Comparison Test, the series Lconverges Comparison Test, the series ? converges Comparison Test, the series ? converges Comparison Test, the seriesconverges Comparison Test, the series ? converges 2. For all n > 1? arctan(n) 2, In(n) 4. For all n > 2, -- 2·?? ? ? and the series ? converges, so by the lilo) 1, 1.5 Note: In order to get credit for this problem all answers must be correct.

Explanation / Answer

(1)

correct

because it satisfies comparison test

(2)

correct

because it satisfies comparison test

(3)

Incorrect

because it does not satisfy comparison test

(4)

Correct

because it satisfies comparison test

(5)

Correct

because it satisfies comparison test

(6)

Correct

because it satisfies comparison test