${\displaystyle \underset{n=1}{\overset{}{}}}\frac{5n}{n^2+4}$

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

$($Type an exact answer.$)$

A$.$ The series converges because the conditions of the Integral Test are satisfied and ${\displaystyle \underset{1}{\overset{}{}}}\frac{5x}{x^2+4}dx=|||$

B$.$ The series diverges because the conditions of the Integral Test are satisfied and ${\displaystyle \underset{1}{\overset{}{}}}\frac{5x}{x^2+4}dx=$

C$.$ The Integral Test cannot be used since one or more of the conditions for the Integral Test is not sat