Absolutely asymmetric

Absolutely asymmetric, (0 - 1) - (1 - ∞).

It is fascinating how absolutely asymmetric these two intervals are. The idea comes from observing the behavior of the fraction $1 \over x$. If $x \rightarrow inf$, the value of the fraction $\rightarrow 0$. If $x \rightarrow 0$, the value of the fraction $\rightarrow inf$. It appears as if the pivotal point is $x = 1$. I can’t help but admire how a tiny interval $(0,1)$ contains infinity while a huge interval $(1, inf)$ can produce such tiny things.

I know that both intervals are infinite in $\Bbb R$, and my consideration is meant to be taken as one made by a non astronomer about the stars