$(1$ point$)$

Use the Integral Test to determine whether the infinite series is convergent.

${\displaystyle \underset{n=15}{\overset{}{}}}\frac{n^2}{(n^3+6{)}^{\frac{5}{2}}}$

To perform the integral test, one should calculate the improper integral

${\displaystyle \underset{15}{\overset{}{}}},dx=$

Enter inf for $,-$inf for $-,$ and DNE if the limit does not exist.

By the Integral Test,

the infinite series ${\displaystyle \underset{n=15}{\overset{}{}}}\frac{n^2}{(n^3+6{)}^{\frac{5}{2}}}$

A$.$ converges

B$.$ diverges