The limit of the elapsed lifetime, as the expected lifetime approaches infinity, is 0%.
Or 600mi / ∞mi ≈ 0% for short LoL
Making a joke about how ridiculously long these wheels last. Except it’s not really a joke. They last a ridiculously long time. I’ve never seen, or seen photos of, one with any chunks or worn out in any way. And I have abused the crap out of them.
Taking the limit of a fraction does not solve the division.
Infinity is a concept. You CAN take a limit of an expression but that doesn’t solve anything. There are ways to show that something is equal to something using limits but that would in fact fail here.
Think of infinity as something growing. Where as a number doesn’t grow. In a way what your asking is “how many fries can I make from this ever growing pile of potatoes” the only thing you can do is stop the growth of the potato pile and then make the fries.
Not to mention that infinity is not automatically always the same. For example. Let the infinite number of irrational decimal numbers between 1 and 2 (such as 1.00001… , 1.00002… etc) be the set of numbers A. And Let the infinite number of irrational decimal numbers between 1 and 3 be set B. So is A or B bigger? Well in truth, there’s no way to make that decision. Since both A and B are ever growing.
The top is correct.
But the bottom is not. Something either is or isn’t equal to something. No such thing as “unprovably is” lol. Not in math. It’s not zero. It’s a totally different concept. It’s small sure. But not zero. Zero is much more powerful than very very small
If a set of longboard wheels has X kilometers on them, and they last for infinity kilometers, then they are 0% used-up, regardless of what X is.
Because the ratio of X to inifinity tends to be zero, no matter how big X is, because infinity is always more than an arbitrary number of times larger.
Boom no. See that’s exactly the false statement. They do infact get used up. But their usage merely approaches 100% but never quite reaches is. Just like we can never quite reach the speed of light because the amount of energy required is ever growing