calculus - What is infinity divided by infinity? - Mathematics Stack ...
Aug 11, 2012 · One advantage of approach (2) is that it allows one to discuss indeterminate forms in concrete fashion and distinguish several cases depending on the nature of numerator and …
calculus - Infinite Geometric Series Formula Derivation
Infinite Geometric Series Formula Derivation. Ask Question Asked 12 years, 1 month ago. Modified 4 years ...
Proof of infinite monkey theorem. - Mathematics Stack Exchange
Apr 24, 2015 · The infinite monkey theorem states that if you have an infinite number of monkeys each hitting keys at random on typewriter keyboards then, with probability 1, one of them will …
When does it make sense to say that something is almost infinite?
A metal beam is not a continuous object, but a finite collection of molecules. An economy is not a distribution of wages and trade preferences, but a finite list of governments, firms, and …
elementary set theory - What do finite, infinite, countable, not ...
Clearly every finite set is countable, but also some infinite sets are countable. Note that some places define countable as infinite and the above definition. In such cases we say that finite …
$\\sin(x)$ infinite product formula: how did Euler prove it?
I know that $\sin(x)$ can be expressed as an infinite product, and I've seen proofs of it (e.g. Infinite product of sine function). I found How was Euler able to create an infinite product for …
infinity - Does infinite equal infinite? - Mathematics Stack Exchange
(the principal exception I know of is the extended hyperreal line, which has many infinite numbers obeying the 'usual' laws of arithmetic, and a pair of additional numbers we call $+\infty$ and $ …
Purely infinite $C^*$-algebras - Mathematics Stack Exchange
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …
Is it valid to use an "infinite" number of universal/existential ...
Dec 14, 2024 · My knowledge of logic is very limited, but I am concerned that this approach of "infinite" instantiations is not valid. Specifically, it feels like I am trying to use an "inductive …
In an infinite sum, is there an actual term at an infinite position?
Nov 18, 2023 · As for what infinite summation means ... Zeno's first paradox maps to this very problem. Infinite summation shows how an infinite number of terms can sometimes add up to …