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  1. 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

  2. Does a vertical line have no slope, or infinite slope?

    Dec 17, 2024 · I have heard some textbooks that vertical lines have no slope (not a slope of 0 0, rather, no slope at all). However, other textbooks say that the slope of a vertical line is ∞ ∞, where the ∞ ∞ is …

  3. Infinite monkey theorem and numbers - Mathematics Stack Exchange

    Mar 15, 2021 · I had a discussion with a friend about the monkey infinite theorem, the theorem says that a monkey typing randomly on a keyboard will almost surely produce any given books (here let's say …

  4. Uncountable vs Countable Infinity - Mathematics Stack Exchange

    My friend and I were discussing infinity and stuff about it and ran into some disagreements regarding countable and uncountable infinity. As far as I understand, the list of all natural numbers is

  5. I have learned that 1/0 is infinity, why isn't it minus infinity?

    An infinite number? Kind of, because I can keep going around infinitely. However, I never actually give away that sweet. This is why people say that 1 / 0 "tends to" infinity - we can't really use infinity as a …

  6. real analysis - Meaning of Infinite Union/Intersection of sets ...

    Meaning of Infinite Union/Intersection of sets Ask Question Asked 8 years, 11 months ago Modified 4 years, 4 months ago

  7. infinity - Infinite averages - Mathematics Stack Exchange

    Apr 28, 2015 · 4 You need to endow your infinite set with a measure such that the whole space has measure 1 1 and then integrate (and hope that your function is measurable to begin with). For finite …

  8. When does it make sense to say that something is almost infinite?

    4 If "almost infinite" makes any sense in any context, it must mean "so large that the difference to infinity doesn't matter." One example where this could be meaningful is if you have parallel resistors and …

  9. calculus - Infinite limits - Mathematics Stack Exchange

    Obviously it depends on the definition of "exists". Some authors explicitly work over the extended real line with ±∞ ± ∞ adjoined, so that such infinite limits do explicitly "exist" as first-class values. But …

  10. calculus - Does $1.0000000000\cdots 1$ with an infinite number of $0 ...

    May 31, 2016 · A decimal representation of a number has digits indexed by natural numbers. Which exactly is the position of that last 1? Is it the first after the decimal point? The second? The third? …