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Mathematics-Online lexicon:

Horizontal Asymptotes

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A function $ f(x)$ has a horizontal asymptote $ y=a$ on the right side, if

$\displaystyle \lim_{x \to \infty}f(x)=a \qquad a \in \mathbb{R}. $

A function $ f(x)$ has a horizontal Asymptote $ y=a$ on the left side, if

$\displaystyle \lim_{x \to -\infty}f(x)=b \qquad b \in \mathbb{R}. $

(Authors: Jahn/Knödler)
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  automatically generated 7/ 8/2004