Asymptotes are a humorous concept in math. If you picture it out, it’s just like us. Assuming that I’m the curve and you are the asymptotic line – no matter how much I try to get closer to you, despite how much I travel the domain to diminish the distance that separates us, by definition, we will never be adapted to fall together.
But if you’ll ask me if there is a chance for the line and the asymptote to converge at one point; Well, I do have a concept in mind.
Are you familiar with the idea of infinity? Maybe you do, I know you watched or read “The Fault in Our Stars”. So here’s the thing: According to the Euclidian Geometry, there is this hypothetical point situated at a distance so far where parallel lines meet. That point is at infinity.
But what is infinity, really? Well, it could be the set of all counting numbers. It could also be the set of all numbers between 0 and 1. But, do you remember in elementary when division is described as repeated subtraction? That is, when 4/2 = 2 because 4-2=2 and 2-2=0, that’s subtracting 2 twice, thus 4/2 = 2. Well, what happens when you divide something by zero? You will actually subtract and subtract but nothing will happen to the number. You will go on forever, subtracting and subtracting. But still nothing happens to the number. Then you keep subtracting on. Now, how many times have you subtracted? That is infinity. Thus, infinity is forever, boundless, never-ending.
But there, the laws of mathematics fail to work. There, even the practically impossible happens. There, the pathetic curve finally converges with its beloved asymptote. And from that point onward, from infinity and beyond, they are one. It’s a happy ending isn’t it? Or a happy never-ending perhaps?