Find the horizontal asymptote to the following function.

How would you find the horizontal asymptote to the following function: $$f_{(x)}=\frac{3e-4}{2e-2}+\frac{e}{2e-2}e^{-x}$$

• What have you tried? What do you know about the exponential function $e^{-x}$, in particular for $x \to \infty$ and for $x \to -\infty$? – PenasRaul Jun 21 '17 at 9:11
• I should recall you that a line $y = m$ is an horizontal asymptote of $f$ whenever $\lim{x \to \infty} f(x) = m$ or $\lim{x \to -\infty} f(x) = m$ – PenasRaul Jun 21 '17 at 9:12
• Ah , so it's just the first term, got it, thanks. – Kantura Jun 21 '17 at 9:20