Recent content by Mathematically

  1. M

    End Behaviour of ƒ(x) = √(x2+x) - x: Calculating Asymptotes with Derivatives

    Ah, I see. That makes sense although I am not sure how to actually go about doing that; my knowledge of calculus is very very limited. I think my teacher is showing us his solution soon so hopefully it will become clear. Thanks so much for the help! :smile:
  2. M

    End Behaviour of ƒ(x) = √(x2+x) - x: Calculating Asymptotes with Derivatives

    So as x approaches infinity, will (1+1/x)^(1/2) approach 1? Thus, the function approaches |x| - x ?
  3. M

    End Behaviour of ƒ(x) = √(x2+x) - x: Calculating Asymptotes with Derivatives

    Homework Statement Determine the end behaviour of the function ƒ(x) = √(x2+x) - x Homework Equations Not quite sure, but I suppose f'(x) would be useful? The Attempt at a Solution Essentially what I did was take the derivative of f(x), however I was unsure as to how one would take the limit...