Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. $$\sum\limits_{n=1}^{\infty} \frac{3 n^2}{(2n+1)!}$$ $\rho = \lim\limits_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| =$ (Enter 'inf' for $\infty$.)

$\displaystyle \sum_{n=1}^{\infty} \frac{3 n^2}{(2n+1)!}$ is:

A. convergent
B. divergent
C. The Ratio Test is inconclusive