Exercise $6.$ The numerical series ${\displaystyle \underset{n=1}{\overset{}{}}}(-1{)}^n\frac{\sqrt[\phantom{2}]{n^2+4}log(3^n+2)}{\sqrt[\phantom{2}]{n^7+1}}$

A$)$ is absolutely convergent, but not convergent

B$)$ does not converge

C$)$ is convergent, but not absolutely convergent

D$)$ is absolutely convergent