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- 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 "
- 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
- 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?
- If you subtract a finite number from an infinity, does the infinity . . .
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 different kinds of infinities, such as ∞! but it was all well above my head So the question is, does subtracting finite numbers from an infinity make it smaller?
- Why is $\\infty \\cdot 0$ not clearly equal to $0$?
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 reached The expression $\infty \cdot 0$ means strictly $\infty\cdot 0=0+0+\cdots+0=0$ per se I don't understand why the mathematical community has a difficulty with this
- 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
- 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
- Is 1 + infinity gt; infinity? - Mathematics Stack Exchange
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 can't simply add $1$ to infinity, because infinity is ever increasing So new_infinity would just become "1 + infinity"
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