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

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...

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 …

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 …

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 limn→∞(1 + x/n)n, lim n → ∞ (1 + x / n) n, or is …

Can anyone explain me what the result of $$\\lim_{n\\rightarrow\\infty} (-1)^n$$ is and the reason?

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 4, 2018 · I am taking AP Calculus BC this year, and we are going over improper integrals. I was just doing this integral, and was wondering what exactly the ln(inf/inf) is. Here is my work: I believe my tea...

24 It's pretty straightforward to say that there is an infinite number of different sizes of infinity, but then I thought, "What size of infinity is that?" My thoughts are that the number of unique cardinalities is …