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B Curve where both x and y approach infinity

  1. Nov 24, 2016 #1
    What is the equation for a curve where x approaches infinity as y approaches infinity?
     
  2. jcsd
  3. Nov 24, 2016 #2

    Krylov

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    I don't think I understand you well, but what about: ##x = y##
    ?
     
  4. Nov 24, 2016 #3
    Wouldn't that be a straight line instead of a curve?
     
  5. Nov 24, 2016 #4

    Krylov

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    To me a straight line is a particular kind of curve, but if you prefer something that really "curves", then you could do ##x = y^2##. However, I believe you were also able to find that out?

    Maybe it helps when you explain a bit more about the background of your question. There are lots of planar curves with the property that ##x \to \infty## as ##y \to \infty##. Are you looking for a curve among them that has some additional properties?
     
  6. Nov 24, 2016 #5
    I think I get it. Powers make a curve.
     
  7. Nov 24, 2016 #6

    mfb

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    A straight line is a mathematical curve as well. It is just an interesting special case.
     
  8. Nov 24, 2016 #7

    jedishrfu

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    ##y=ln(x)## also works as does ##y=e^x##
     
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