Definition: Infinity refers to something without any limit, and is a concept relevant in a number of fields, predominantly mathematics and physics. The English word infinity derives from Latin infinitas, which …

Aug 11, 2012 · I know that $\infty/\infty$ is not generally defined. However, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half-as-big infinity, for

Apr 28, 2016 · Can this interpretation ("subtract one infinity from another infinite quantity, that is twice large as the previous infinity") help us with things like $\lim_ {n\to\infty} (1+x/n)^n,$ or is it just a …

For infinity, that doesn't work; under any reasonable interpretation, 1 + ∞ = 2 + ∞ 1 + ∞ = 2 + ∞, but 1 ≠ 2 1 ≠ 2. So while for some purposes it is useful to treat infinity as if it were a number, it is important to …

Oct 28, 2015 · I understand that there are different types of infinity: one can (even intuitively) understand that the infinity of the reals is different from the infinity of the natural numbers. Or that the infi...

Similarly, the reals and the complex numbers each exclude infinity, so arithmetic isn't defined for it. You can extend those sets to include infinity - but then you have to extend the definition of the arithmetic …

Dec 25, 2017 · In the process of investigating a limit, we know that both the numerator and denominator are going to infinity.. but we dont know the behaviour of each dynamics.

Jun 9, 2023 · so long as x is a finite number. Meaning, adding or subtracting a finite number to an infinity does not change its value, but I vaguely remember a YouTube video that talked about different kinds …

A friend of mine was trying to explain to me how all infinities are equal. For example, they were saying that there are the same amount of numbers between $0$–$1$ as there are between $0$–$2$. The...

Dec 13, 2021 · But I can't disprove their points. My argument is that if $1 + \infty > \infty$ then there exists a number greater than $\infty$, disproving the concept of infinity, because you can't simply add …