Use the direct comparison test to determine whether ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{n}{5n^{3}2}$ converges or diverges.

Select one:

a ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{n}{5n^{3}2}$ converges by companson win ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{n^2}$

b$.{\displaystyle \underset{n=1}{\overset{}{}}}\frac{n}{5n^{3}2}$ converges by comparison with ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{n^3}$

c$.{\displaystyle \underset{n=1}{\overset{}{}}}\frac{n}{5n^{3}2}$ dienges by compution $n={\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{n^2}$

d$.{\displaystyle \underset{n=1}{\overset{}{}}}\frac{n}{5n^{3}2}$ diverges by companson with ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{n^3}$