Use the Integral Test to determine whether the infinite series is convergent. $$\sum_{n=13}^{\infty} \frac{n^2}{\left(n^3 + 7\right)^{\frac{3}{2}}}$$ To perform the integral test, one should calculate the improper integral

$\int_{13}^{\infty}$ $dx$ =
Enter inf for $\infty$, -inf for $-\infty$, and DNE if the limit does not exist.

By the Integral Test,
the infinite series $\displaystyle \sum_{n=13}^{\infty} \frac{n^2}{\left(n^3 + 7\right)^{\frac{3}{2}}}$
A. converges
B. diverges