Hey guys, this forum has pretty much inspired me to start learning calculus, and, well, here I am. So let's take this limit as an example of my point: The limit of f(x) as x approaches 2 = 1. (Pardon my lack of math symbols, I haven't learned how to use them yet, but I think this example is sufficiently simple so as to not merit their use) What I don't understand is why we say f(x) = 1 as x approaches 2 when what's really happening is f(x) is approaching 1 as x approaches 2. As x is getting closer and closer to 2, f(x) is getting closer and closer to 1. At no point when x is close to 2 does f(x) equal 1. Can someone explain this to me? Thanks.