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

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.

Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 8 months ago Modified 4 years, 11 months ago

Dec 17, 2024 · I have heard some textbooks that vertical lines have no slope (not a slope of $0$, rather, no slope at all). However, other textbooks say that the slope of a vertical line is $\\infty$, where the $\\...

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 all natural numbers is

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 …

Dec 5, 2015 · I am having trouble with the following terms: countably infinite, uncountable, and finite. In addition, for the following problems I need to select which category they fall into. $1)$ Consider a s...

A treatise on this can be found in On the associativity of infinite matrix multiplication. However, if x x and v v are infinite vectors, and A A is a semi-infinite matrix, then Does the product x⊺Au x ⊺ A u is …

I am confused on the following series: $$\sum\limits_ {n=1}^ {\infty}\frac {1} {n (n+1)} = 1$$ My calculator reveals that the answer found when evaluating this series is 1. However, I am not sure how it

May 8, 2021 · Infinite Series: Convergence and Divergence tests Ask Question Asked 4 years, 8 months ago Modified 4 years, 8 months ago