0.999... = 1 (?)

Something like f(x) = 1/x and x = 0 drawn on the same graph. The line x = 0 is the asymptote of f(x) = 1/x, so the only point they can meet is at (infinity) or (- infinity). Since infinity occurs at x = 0, then 1/infinity = 0.

However, the problem I have with this graph is that f(x) = 1/x joins the line x = 0 at two different locations on opposite ends. Also, x = 0 is just a line and is undefined when you try writing it as g(x), because then you'd have to write it as g(x) = lim kx as k approaches infinity, which would cease to make sense.

Parametric anyone?

Parametric:


Is that what you mean?