What is the difference in definition between a Limit and an Asymptote? Having just taken my first Calc test today, I found myself trying to figure out a mathematical differentiation between the two because they seem so damn similar. Sorry if this is a dumb question with an obvious answer, but I just can't seem to figure it out. Is it that one is a whole line of answers that don't fit, and the other is a single point represented by a hole in the graph?