QUESTION $2$

The series ${\displaystyle \underset{n=1}{\overset{}{}}}\frac{e^n}{e^{2n}+1}$

A$.$ converges necessarily to the same value of the integral ${\displaystyle \underset{1}{\overset{}{}}}\frac{e^x}{e^{2x}+1}dx$

B$.$ is convergent by the integral test

C$.$ is divergent by the integral test

D$.$ diverges because the derivative of the function $f(x)=\frac{e^x}{e^{2x}+1}$ is positive

E$.$ diverges because ${\displaystyle \underset{1}{\overset{}{}}}\frac{e^x}{e^{2x}+1}dx=$