Improper Integral: Comparison Test I have the following improper integral:
$$\int ^\infty _{-\infty}\frac{2016}{e^x+e^{-x}} \, dx$$
My question is how to prove that it is convergent or divergent by using the Comparison Test.

Hint : Use $\frac{2016}{e^x}$ for the integral from $0$ to $\infty$ and $\frac{2016}{e^{-x}}$ for the integral from $-\infty$ to $0$ to show the convergence due to the majorant-criterion.
