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asymptote MATH

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Although the definition here uses a parameterization of the curve, the notion of asymptote does not depend on the parameterization. en.wikipedia.org

Informally, one may speak of the curve meeting the asymptote at infinity although this is not a precise definition. en.wikipedia.org

An asymptote serves as a guide line that serves to show the behavior of the curve towards infinity. en.wikipedia.org

In some contexts, such as algebraic geometry, an asymptote is defined as a line which is tangent to a curve at infinity. en.wikipedia.org

That point is approached as a vertical asymptote, at a particular point in time, that can be delayed only by unsustainable effort. en.wikipedia.org

The graph of this function does intersect the vertical asymptote once, at (0,5). en.wikipedia.org

If this limit fails to exist then there is no oblique asymptote in that direction, even should the limit defining "m" exist. en.wikipedia.org

An asymptote can be either vertical or non-vertical (oblique or horizontal). en.wikipedia.org

So the "y" -axis is also an asymptote. en.wikipedia.org

Only open curves that have some infinite branch, can have an asymptote. en.wikipedia.org

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