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Rizaldo

  • 3 years ago

What would be the simplest definition for an asymtote?

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  1. amistre64
    • 3 years ago
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    something to snuggle up to

  2. amistre64
    • 3 years ago
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    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
    • 3 years ago
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    actually that is not quite right

  4. amistre64
    • 3 years ago
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    and horizontals and slants can be croseed; but in the end they act right

  5. Alchemista
    • 3 years ago
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    A line at a limit

  6. amistre64
    • 3 years ago
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    now now; he said simple definition; not accurate definintion lol

  7. satellite73
    • 3 years ago
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    for example \[\frac{\sin(x)}{x}\] certainly approaches 0 as x increases, but it crosses infinitely many times

  8. Alchemista
    • 3 years ago
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    You need to properly define what a limit is to rigorously describe what it is.

  9. satellite73
    • 3 years ago
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    i think the question should be "what is the definition" of an asymptote" rather than "simplest"

  10. satellite73
    • 3 years ago
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    http://en.wikipedia.org/wiki/Asymptote

  11. Alchemista
    • 3 years ago
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    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
    • 3 years ago
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    I quite like "tangent at infinity" even if u can pick holes in it...

  13. Rizaldo
    • 3 years ago
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    A straight line that defines limits of a curve.

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