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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
- What is imaginary infinity, - Mathematics Stack Exchange
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 the complex plane The most common compactification is the one-point one (known as the Riemann sphere), where a single infinity ∞~ ∞ is added
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