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Mathematics-Online lexicon:

Poles

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A pole occurs at fractional polynomials $ f(x)=\dfrac{g(x)}{h(x)}$ if there is a zero of the denominator $ g$ where the nominator $ h$ doesn't vanish.

$ x_0$ ist a pole of $ f$: $ g(x)\ne0$ and $ h(x)=0$.

The graph of $ f$ has a vertical asymptote at the pole.

(Author: Knödler)
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  automatically generated 7/ 8/2004