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.
2026-05-06 06:05:55.1778047555
Improper Integral: Comparison Test
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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.