
Uncountable vs Countable Infinity - Mathematics Stack Exchange
Nov 5, 2015 · My friend and I were discussing infinity and stuff about it and ran into some disagreements regarding countable and uncountable infinity. As far as I understand, the list of …
calculus - Infinite Geometric Series Formula Derivation
Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 6 months ago Modified 4 years, 9 months ago
When does it make sense to say that something is almost infinite?
4 If "almost infinite" makes any sense in any context, it must mean "so large that the difference to infinity doesn't matter." One example where this could be meaningful is if you have parallel …
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 …
What are some examples of infinite dimensional vector spaces?
Jan 26, 2021 · I would like to have some examples of infinite dimensional vector spaces that help me to break my habit of thinking of $\\mathbb{R}^n$ when thinking about vector spaces.
proof writing - Infinite set always has a countably infinite subset ...
Aug 20, 2015 · 24 I'm trying to show that one infinite always has a countably infinite subset, but I'm confused with something on the proof. Let S S be one infinite set. In that case, to show it …
Partitioning an infinite set - Mathematics Stack Exchange
Dec 1, 2010 · Can you partition an infinite set, into an infinite number of infinite sets?
Sum of an infinite series. - Mathematics Stack Exchange
Aug 11, 2015 · Sum of an infinite series. Ask Question Asked 10 years, 3 months ago Modified 10 years, 1 month ago
Infinite series $\sum _ {n=2}^ {\infty } \frac {1} {n \log (n)}$
Jun 16, 2024 · Recently, I encountered a problem about infinite series. So my question is how to know whether the infinite series $\sum _ {n=2}^ {\infty } \frac {1} {n \log (n)}$ is convergent?
Infinite Cartesian product of countable sets is uncountable
So by contradiction, infinite $0-1$ strings are uncountable. Can I use the fact that $\ {0,1\}$ is a subset of any sequence of countable sets $\ {E_n\}_ {n\in\mathbb {N}}$ and say the infinite …