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- What is infinity divided by infinity? - Mathematics Stack Exchange
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
- 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 can be translated as " unboundedness ", itself derived from the Greek word apeiros, meaning " endless "
- 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 operators, to cope with that extended set And then, you need to start thinking about arithmetic differently
- complex analysis - Infinity plus Infinity - Mathematics Stack Exchange
Infinity plus Infinity Ask Question Asked 13 years, 3 months ago Modified 2 months ago
- limits - Infinity divided by infinity - Mathematics Stack Exchange
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
- Can I subtract infinity from infinity? - Mathematics Stack Exchange
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 n) n, or is it just a parlor trick for a much easier kind of limit?
- Can infinity be divided by anything? - Mathematics Stack Exchange
Since you are talking about "dividing by infinity" then you are probably working in the extended real numbers rather than the real numbers In such a context, yes infinity is the "largest" extended real number and 11 11 can indeed be divided by it
- definition - Is infinity a number? - Mathematics Stack Exchange
Infinity is not a number, but some things that can reasonably be called numbers are infinite This includes cardinal and ordinal numbers of set theory and infinite non-standard real numbers, and various other things
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