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Horizontal Asymptotes

  1. Sep 26, 2009 #1
    1. The problem statement, all variables and given/known data
    the question says, find the Horizontal Asymptotes of the fallowing:
    f(x) = (cot^-1) (x^2 - x^4)

    f(x) = (cot^-1)(x)

    3. The attempt at a solution
    do i convert cot to it's components?
    i have no idea, plz help me.
    i appreciate your time.
  2. jcsd
  3. Sep 26, 2009 #2
    Horizontal asymptotes only occur as behavior when the argument of a function increases without bound as the function tends to a finite number or decreases without bound as the function tends to a finite number.
    Does your notation stand for the inverse function of the cotangent (the arccotangent) or just the reciprocal of the cotangent?
    How does the function behave as x increases without bound? As x decreases without bound?
  4. Sep 26, 2009 #3
    this is the actual equation.
    attached as a picture.

    Attached Files:

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