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

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 …

Mar 25, 2011 · (i.e add 0 0 to 0 0 as many times as you like, result is 0 0) So I thought an infinite number of 0 0 's cannot be anything but 0 0? But someone claims different but couldn't offer a reasonable …

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...

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 …

Dec 25, 2017 · Infinity divided by infinity Ask Question Asked 8 years, 1 month ago Modified 8 years, 1 month ago

Dec 13, 2021 · So new_infinity would just become "1 + infinity". They argue that you can just substitute in x x for infinity and have the statement 1 + x> x 1 + x> x which is true (but I don't think you can …

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

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 …

This resolves your problem because it shows that 1 ϵ 1 ϵ will be positive infinity or infinite infinity depending on the sign of the original infinitesimal, while division by zero is still undefined. This …