Definition:Vertical Asymptote
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Definition
The vertical line $x = L$ is a vertical asymptote of the graph of a real function $f$ if and only if either of the following limits exist:
| \(\ds \lim_{x \mathop \to L} \map f x\) | \(=\) | \(\ds \infty\) | ||||||||||||
| \(\ds \lim_{x \mathop \to L} \map f x\) | \(=\) | \(\ds -\infty\) |
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