1. $s_n = 1 + \cos(n)/n$
 2. $s_n = n(n+1) - 1$
 3. $s_n = (n+1)/n$
 4. $s_n = (\sin(n)/n)$
 5. $s_n = n\sin(n)/(n+1)$

A. converges to zero through positive and negative numbers
B. does not converge, but doesn't go to $\pm\infty$
C. diverges to $\infty$
D. converges to one from above and below
E. converges to one from above