Hi guys, I know this is a dumb question, but I have to ask. We are supposed to sketch the curve of y=x/(x-1)^2 using the guidelines for curve sketching such as domain, intervals of increase/decrease, concavity....ect. For the most part on this question I think I have done this all right, it really isn't all that hard. But for some reason my asymptotes are a bit messed up. I know there is a vertical asymptote occuring at x=1, because having an x value of one makes the denominator undefined. Then to find the horizontal asymptoes I expanded the denominator to get y = x/(x^2 -2x+1), then I found the horizontal denominator (limit as it approaches infinity) by taking an x^2 out of the whole thing, leaving me with a horizontal asymptote at y=0, which for the right half of the curve is true. But the left half of the curve does cross the axis at (0,0). How do I account for the fact that there is not a horizontal tangent at y=0 on the left side of the graph? I hope I explained my situation clearly. Thanks for any help in advance.