Definition:Horizontal Asymptote

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Definition

The horizontal line $y = L$ is a horizontal asymptote of the graph of a real function $f$ if and only if either of the following limits exist:

\(\ds \lim_{x \mathop \to +\infty} \map f x\) \(=\) \(\ds L_1\)
\(\ds \lim_{x \mathop \to -\infty} \map f x\) \(=\) \(\ds L_2\)





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