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Mathematics-Online lexicon:

Asymptotes

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview
A linear function $ p(x) = ax+b$ is an asymptote of $ f$ if

$\displaystyle f(x)-p(x) \to 0,\quad x\to\infty$   or$\displaystyle \ x\to-\infty . $

\includegraphics[width=8cm]{Asymptote.eps}

see also:

[Examples]
  automatically generated 4/ 8/2008