## Rizaldo Group Title What would be the simplest definition for an asymtote? 2 years ago 2 years ago

1. amistre64 Group Title

something to snuggle up to

2. amistre64 Group Title

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

3. satellite73 Group Title

actually that is not quite right

4. amistre64 Group Title

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

5. Alchemista Group Title

A line at a limit

6. amistre64 Group Title

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

7. satellite73 Group Title

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

8. Alchemista Group Title

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

9. satellite73 Group Title

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

10. satellite73 Group Title
11. Alchemista Group Title

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)

12. estudier Group Title

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

13. Rizaldo Group Title

A straight line that defines limits of a curve.