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What would be the simplest definition for an asymtote?

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something to snuggle up to
an asymptote tends to be a boundary line that is forever approached; getting closer and closer; but never reaching unless you can get all the way to the end of infinity
actually that is not quite right

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and horizontals and slants can be croseed; but in the end they act right
A line at a limit
now now; he said simple definition; not accurate definintion lol
for example \[\frac{\sin(x)}{x}\] certainly approaches 0 as x increases, but it crosses infinitely many times
You need to properly define what a limit is to rigorously describe what it is.
i think the question should be "what is the definition" of an asymptote" rather than "simplest"
Also I guess it should be noted that other functions can be asymptotes (for instance you can have polynomial asymptotes with degree greater than 1)
I quite like "tangent at infinity" even if u can pick holes in it...
A straight line that defines limits of a curve.

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