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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 "
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?
Why is $\infty\times 0$ indeterminate? - Mathematics Stack Exchange In particular, infinity is the same thing as "1 over 0", so "zero times infinity" is the same thing as "zero over zero", which is an indeterminate form Your title says something else than "infinity times zero" It says "infinity to the zeroth power"
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"
What is the square root of infinity and what is infinity^2? 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 represented by the sequence $1,2,3,\ldots$
Is $0^\infty$ indeterminate? - Mathematics Stack Exchange Is a constant raised to the power of infinity indeterminate? I am just curious Say, for instance, is $0^\\infty$ indeterminate? Or is it only 1 raised to the infinity that is?
I have learned that 1 0 is infinity, why isnt it minus infinity? This obviously makes no sense - we say that 0 0 is "undefined" because there isn't really an answer Likewise, 1 0 is not really infinity Infinity isn't actually a number, it's more of a concept If you think about how division is often described in schools, say, number of sweets shared between number of people, you see the confusion