
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
Why is it that when there are fewer equations than unknowns we have ...
Apr 15, 2022 · Why is it that when there are fewer equations than unknowns we have infinite solutions in a system of linear equations? [closed] Ask Question Asked 3 years, 10 months ago Modified 3 years, …
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 …
How can Cyclic groups be infinite - Mathematics Stack Exchange
Oct 4, 2020 · I am a little confused about how a cyclic group can be infinite. To provide an example, look at $\\langle 1\\rangle$ under the binary operation of addition. You can never make any negative …
sequences and series - infinite summation of exponential functions ...
infinite summation of exponential functions Ask Question Asked 9 years, 6 months ago Modified 9 years, 6 months ago
probability - Is selecting a random person from an infinite population ...
Jul 13, 2024 · This was initially sparked by a hypothetical question: There are two scenarios. In the first, an infinite number of people are living in a completely blissful paradise, but every day a person is se...
convergence divergence - Infinite series that surprisingly converge ...
Dec 5, 2019 · I couldn't find any substantial list of 'strange infinite convergent series' so I wanted to ask the MSE community for some. By strange, I mean infinite series/limits that converge when you would …
linear algebra - Proof that two bases of a vector space have the same ...
16 Once you have the necessary facts about infinite sets, the argument is very much like that used in the finite-dimensional case.
Can a countable set contain uncountably many infinite subsets such …
Dec 15, 2025 · Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite?
real analysis - Why set of natural numbers is infinite, while each ...
In his book Analysis Vol. 1, author Terence Tao argues that while each natural number is finite, the set of natural numbers is infinite (though has not defined what infinite means yet). Using Peano...