I am trying to get a head start and learn some calculus before my class begins this fall. I'm trying to learn from Khan Academy, but I'm already confused. I thought the definition of a limit was a value that could never be reached, though could be infinitely close to being reached. Here is a problem I just encountered in practice. http://s16.postimg.org/qy9d2bxed/limit.jpg I initially chose that a limit for this function does not exist, but apparently 1 is the correct answer. But I am confused because 1 is a point that can actually be reached. It can be reached when x = 1. So this makes me wonder... couldn't I do the same thing for any other point on the graph? Couldn't I say that the limit of f(x) as x approaches 2 = -5? And for that matter, wouldn't that mean I could say the same thing for any point on any parabola similar to this?