2012年8月11日 · 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 …

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 …

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 …

2016年4月28日 · 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 …

2012年12月18日 · 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 …

2017年12月25日 · 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.

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 …

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

2017年5月14日 · The infinity can somehow branch in a peculiar way, but I will not go any deeper here. This is just to show that you can consider far more exotic infinities if you want to. Let us then turn to …

2023年6月9日 · 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 …