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Example: Poles


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The function

$\displaystyle f(x)=\frac{x+1}{x-1}$

has a pole at the point $ x_0=1$ because the denominator is zero there and the nominator not.

The straight line with the equation $ x=1$ is a vertical asymptote.

\includegraphics[width=0.8\textwidth]{pol.eps}
(Author: Knödler)

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  automatisch erstellt am 8.  7. 2004