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 limn→∞(1 + x/n)n, lim n → ∞ (1 + x …

Dec 25, 2017 · 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.

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 …

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 …

This obviously makes no sense - we say that 0 / 0 is "undefined" because there isn't really an answer. Likewise, 1 / 0 is not really infinity. Infinity isn't actually a number, it's more of a …

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

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Oct 28, 2020 · I understand that −1 ≤ sin(x) ≤ 1 1 ≤ sin (x) ≤ 1 for any real x x. However, the function oscillates and doesn't approach a finite limit as x x tends to infinity. So, what is the …