QUESTION $4$

The series ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{2}{4^n-n}$

A$.$ converges by the limit comparison test with $b_n=\frac{2}{4^n}$

B$.$ converges by the direct comparison test with $b_n=\frac{2}{4^n}$

C$.$ diverges by the limit comparison test with $b_n=\frac{2}{4^n}$

D$.$ diverges by test for divergence

E$.$ diverges by the direct comparison test with $b_n=\frac{2}{4^n}$