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 …

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 …

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 …

Dec 18, 2012 · 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 …

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 …

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 …

3 Infinity does not lead to contradiction, but we can not conceptualize ∞ ∞ as a number. The issue is similar to, what is + − × + ×, where − is the operator. The answer is undefined, because + + …

"Infinity times zero" or "zero times infinity" is a "battle of two giants". Zero is so small that it makes everyone vanish, but infinite is so huge that it makes everyone infinite after multiplication. In …

Because multiplying by infinity is the equivalent of dividing by 0. When you allow things like that in proofs you end up with nonsense like 1 = 0. Multiplying 0 by infinity is the equivalent of 0/0 …

Dec 25, 2017 · When we use straightforward approach, we get $$ \frac {\infty+1} {\infty} = \frac {\infty} {\infty} $$ In the process of investigating a limit, we know that both the numerator and …