This has been bugging me for a while. Yes, I’m the kind of person who is bothered by mathematical mysteries.

x/0 = ∞

Think of that for a second.

Let x = 100.

100/5 = 20

100/4 = 25

So, 100/y, where y is between 5 and 4, should equal to something between 20 and 25, correct? I plug in any number between the two, and yes; it’s correct.

100/1 = 100

100/-1 = -100

Therefore, 100/y, where y is between 1 and -1, should equal to something between 100 and -100, correct? This is where the problem arises.

If x/0 = ∞, then 100/0 = ∞.

So, therefore ∞ is between 100 and -100. I do further calculations, and yes, it is correct. See below:

0/x = 0, correct? 0/5 = 0, 0/4 = 0, et al.

Let’s do this:

0/1 = 0

0/-1 = 0

x/0 = ∞, if x=0, then 0/0=∞

This is true, right?

0/1 = 0

0/0 = ∞

0/-1 = 0

Therefore, ∞ is between 0 and 0. What number is between 0 and 0? Nothing. Meaning that ∞ cannot exist. Which is true, entirely. Correct?

Please, fix/change anything. This is really bothering me.