A long time ago, it was found that I can integrate the infinite expression for (what I think) was the fibbocci thing. The one thing that goes "1/(1+1/(1+......))) and so on. I then found that you can derive the resulting expression and get a completely new equation. That equation is the two big curves seen on the graph. The asymptote was found through luck and stubbornness. It ended up just being (2n+1)/n, so that worked out in the end. Enjoy.