Which of the following statements is correct? (a) [? (n=1) to ?] (sin(n))/(n^2)
ID: 3210595 • Letter: W
Question
Which of the following statements is correct? (a) [? (n=1) to ?] (sin(n))/(n^2) converges, and [? (n=1) to ?] (2n)/((n^4)-3) converges. (b) [? (n=1) to ?] (sin(n))/(n^2) diverges, and [? (n=1) to ?] (2n)/((n^4)-3) diverges. (c) [? (n=1) to ?] (sin(n))/(n^2) converges, and [? (n=1) to ?] (2n)/((n^4)-3) diverges. (d) [? (n=1) to ?] (sin(n))/(n^2) diverges, and [? (n=1) to ?] (2n)/((n^4)-3) converges. (e) [? (n=1) to ?] (sin(n))/(n^2) converges, and [? (n=1) to ?] (2n^4)/((n^4)-3) converges. The last choice (e) is different than the rest!Explanation / Answer
(b) [? (n=1) to ?] (sin(n))/(n^2) diverges, and [? (n=1) to ?] (2n)/((n^4)-3) diverges.