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 …

Apr 28, 2016 · First of all: you cannot just subtract infinity from infinity. Infinity is not a real number so you can't simply use the basic operations as you're used to do with (real) real numbers.

It is just what you want it to be, as long as it makes sense mathematically. We can talk about $+\infty$ and $-\infty$ in the extended real line, and about $\infty$ in the extended comlex …

Dec 25, 2017 · The top should read $\frac {\infty} {\infty}=$ indeterminate. It makes no sense to divide infinities as it is not a number; the concept of a limit (which is used in the second one) …

When trying to invent new number systems with numbers we name, for example, "infinity", we must define the rules of operation. If you decide to adjoin the symbol ∞ ∞ to, say, the real …

I understand that we need to rationalize when we have infinity minus infinity like here $$\lim_ {x\to \infty}\left (\sqrt {x^2 + 1} - \sqrt {x^2 + 2}\right)$$ My question is why can I not just split the

You have numbers and multiplication on them means that every pair of numbers is connected with a number: $ (2,5)$ with $10$. You can add 'infinity' to this set of numbers, but after that …

It is, in most cases, illegal to manipulate $\infty$ in mathematics. The mathematics police will come knocking on your door tomorrow ... Seriously, the point is that $.999\dots$ is simply …

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: …

Mar 29, 2025 · See HTT sections 3.3.3 and 3.3.4. Also the usual model categorial considerations apply.