Compare with $\sum \frac{1}{n^2}$; limit $= \frac{3}{2}$; series converges

Compare with $\sum \frac{1}{n^2}$; limit $= \frac{3}{2}$; series diverges

Compare with $\sum \frac{1}{n}$; limit $= 3$; series diverges

Compare with $\sum \frac{1}{n^3}$; limit $= 3$; series converges