Determine whether the following series converges or diverges.

${\displaystyle \underset{k=0}{\overset{}{}}}\frac{9k}{\sqrt[\phantom{2}]{k^2+2}}$

Choose the correct answer below.

A$.$ According to the Divergence Test, the series converges because $\underset{k}{lim}{a}_{k}0.$

B$.$ According to the Divergence Test, the series diverges because $\underset{k}{lim}{a}_{k}0.$

C$.$ According to the Divergence Test, the series diverges because $\underset{k}{lim}{a}_k=0.$

D$.$ According to the Divergence Test, the series converges because $\underset{k}{lim}{a}_k=0.$

E$.$ The Divergence Test is inconclusive.