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  1. What exactly is infinity? - Mathematics Stack Exchange

    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 …

  2. What is infinity divided by infinity? - Mathematics Stack Exchange

    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 …

  3. Can I subtract infinity from infinity? - Mathematics Stack Exchange

    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 …

  4. Why is $\\infty \\cdot 0$ not clearly equal to $0$?

    Mar 25, 2011 · You never get to the infinity by repeating this process. Limit means that you approach the infinity but never actually get to it because it's not a number and cannot be …

  5. If you subtract a finite number from an infinity, does the infinity ...

    Jun 9, 2023 · 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 …

  6. limits - Infinity divided by infinity - Mathematics Stack Exchange

    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 …

  7. Is 1 + infinity > infinity? - Mathematics Stack Exchange

    Dec 13, 2021 · But I can't disprove their points. My argument is that if $1 + \infty > \infty$ then there exists a number greater than $\infty$, disproving the concept of infinity, because you …

  8. One divided by Infinity? - Mathematics Stack Exchange

    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 …

  9. Types of infinity - Mathematics Stack Exchange

    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 …

  10. What is imaginary infinity, $i\lim\limits_ {x \to \infty} x = i\infty$?

    May 14, 2017 · 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 …