QUESTION $3$

The series ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{ln(n+1)}{n^{\frac{7}{2}}}$

A$.$ diverges by the divergence test

B$.$ diverges by the limit comparison test with $b_n=\frac{1}{\sqrt[\phantom{2}]{n}}$

C$.$ diverges by the direct comparison test

D$.$ converges by the direct comparison test

E$.$ converges by the limit comparison test with $b_n=\frac{1}{n^7}$