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

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    $\begingroup$ 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 $? $\endgroup$ – PenasRaul Jun 21 '17 at 9:11
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    $\begingroup$ 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 $ $\endgroup$ – PenasRaul Jun 21 '17 at 9:12
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    $\begingroup$ Ah , so it's just the first term, got it, thanks. $\endgroup$ – Kantura Jun 21 '17 at 9:20

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