Undefined Asymptote

I am drifting off again. I envy ‘f(a)’, ‘the limit of f(x) as x approaches a’, and ‘the limit of f(x) as x approaches a equals f(a)’ - at least you know these things exist when a function f is continuous at a number a. Well, ok. You’re aware of me… and my invisibility.

Let a be defined as h(x) = the limit of (3 + x) as x approaches 1. Because the limit of h(x) as x approaches 1 from the left is not equal to the limit of h(x) as x approaches 1 from the right, condition (ii) fails to hold at x = 1; so h is discontinuous at 1.

Relate to the saying: it takes two to tango. You’ll need both your left and right hands to hold something in place. But in my case, my “something” is not pushed back by an equal opposing force. Ok, let’s say you know I’m getting into you, and now you’re pushing back my little something. But you’re overdoing it; you’re putting in a little more effort and it’s pushing me away. Can’t you exert just enough force so we can hold this thing together? Don’t you realize I want to stay just right here?

What if only condition (i) was not satisfied? That f(a) does not exist? We remove the discontinuity by defining f(a). We let f(a) be defined as whatever number fits the function.
But love is not just a variable in some math equation. It can never be defined.

I am drifting off to infinity… where all I see is you, where only one name exists and that belongs to you, where your eyes are on everything worth looking at, where your voice echoes anywhere I’m at, and where nothing does not make me think of you.

No, don’t be scared, this is not an obsession. You’ve just captivated me in the most possessive way I wouldn’t want to belong to anyone else. I am yours and I will continue to be as long as you’re you. And trust me I still don’t have plans of getting you out my head. This is MY infinity.
But unfortunately I have been deprived of the belief that infinity goes way, way beyond this wretched world. And while I know there is an end to this dreaming, I’m trying not to figure out and find reasons why I should exit.

Sure there is a limit at infinity. But the limit is not ON it… at least not for now.

I love you and even if no theorem or postulate could prove to you how much I do, let me love every bit of you ’til infinity runs out of definition… if it ever gets to that.