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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 infinitas, which …

  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-big infinity, for

  3. 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 the arithmetic …

  4. soft question - Why is $\infty \cdot 0$ not clearly equal to $0 ...

    Mar 25, 2011 · (i.e add 0 0 to 0 0 as many times as you like, result is 0 0) So I thought an infinite number of 0 0 's cannot be anything but 0 0? But someone claims different but couldn't offer a reasonable …

  5. 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 then turn to …

  6. Types of infinity - Mathematics Stack Exchange

    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 that the infi...

  7. What is the square root of infinity and what is infinity^2?

    Nov 13, 2016 · Thus both the "square root of infinity" and "square of infinity" make sense when infinity is interpreted as a hyperreal number. An example of an infinite number in $ {}^\ast \mathbb R$ is …

  8. definition - Is infinity a number? - Mathematics Stack Exchange

    For infinity, that doesn't work; under any reasonable interpretation, $1+\infty=2+\infty$, but $1\ne2$. So while for some purposes it is useful to treat infinity as if it were a number, it is important to remember …

  9. why does e raised to the power of negative infinity equal 0?

    Mar 16, 2015 · Why is it that e raised to the power of negative infinity would equal 0 instead of negative infinity? I am working on problems with regards to limits of integration, specifically improper integrals...

  10. limits - L'Hospital's Rule of infinity over infinity - Mathematics ...

    Jul 31, 2023 · L'Hospital's Rule of infinity over infinity Ask Question Asked 2 years, 6 months ago Modified 2 years, 6 months ago