Question

What would be the simplest definition for an asymtote?

Answer 1

something to snuggle up to

Answer 2

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

Answer 3

actually that is not quite right

Answer 4

and horizontals and slants can be croseed; but in the end they act right

Answer 5

A line at a limit

Answer 6

now now; he said simple definition; not accurate definintion lol

Answer 7

for example
\[\frac{\sin(x)}{x}\] certainly approaches 0 as x increases, but it crosses infinitely many times

Answer 8

You need to properly define what a limit is to rigorously describe what it is.

Answer 9

i think the question should be "what is the definition" of an asymptote" rather than "simplest"

Answer 10

http://en.wikipedia.org/wiki/Asymptote

Answer 11

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)

Answer 12

I quite like "tangent at infinity" even if u can pick holes in it...

Answer 13

A straight line that defines limits of a curve.