http://www.bing.com:80/search?q=Infinity+Loop+ColorsSearch resultshttp://www.bing.com:80/s/a/rsslogo.gifhttp://www.bing.com:80/search?q=Infinity+Loop+ColorsCopyright © 2026 Microsoft. All rights reserved. These XML results may not be used, reproduced or transmitted in any manner or for any purpose other than rendering Bing results within an RSS aggregator for your personal, non-commercial use. Any other use of these results requires express written permission from Microsoft Corporation. By accessing this web page or using these results in any manner whatsoever, you agree to be bound by the foregoing restrictions.https://math.stackexchange.com/questions/260876/what-exactly-is-infinityDefinition: 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 ".Fri, 03 Apr 2026 03:14:00 GMThttps://math.stackexchange.com/questions/181304/what-is-infinity-divided-by-infinityI 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, forThu, 02 Apr 2026 12:19:00 GMThttps://math.stackexchange.com/questions/28940/why-is-infty-cdot-0-not-clearly-equal-to-0You never get to the infinity by repeating this process. Limit means that you approach the infinity but never actually get to it because it's not a number and cannot be reached. The expression $\infty \cdot 0$ means strictly $\infty\cdot 0=0+0+\cdots+0=0$ per se. I don't understand why the mathematical community has a difficulty with this.Fri, 03 Apr 2026 11:35:00 GMThttps://math.stackexchange.com/questions/44746/one-divided-by-infinitySimilarly, 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.Sun, 05 Apr 2026 05:35:00 GMThttps://math.stackexchange.com/questions/2280052/what-is-imaginary-infinity-i-lim-limits-x-to-infty-x-i-inftyThe infinity can somehow branch in a peculiar way, but I will not go any deeper here. This is just to show that you can consider far more exotic infinities if you want to. Let us then turn to the complex plane. The most common compactification is the one-point one (known as the Riemann sphere), where a single infinity $\tilde\infty$ is added.Sat, 04 Apr 2026 21:42:00 GMThttps://math.stackexchange.com/questions/10490/why-is-1-infty-considered-to-be-an-indeterminate-formThis "$1^\infty$" (in regards to indeterminate forms) actually means: when there is an expression that approaches 1 and then it is raised to the power of an expression that approaches infinity we can't determine what happens in that form. Hence, indeterminate form.Sat, 04 Apr 2026 14:04:00 GMThttps://math.stackexchange.com/questions/5378/types-of-infinityI understand that there are different types of infinity: one can (even intuitively) understand that the infinity of the reals is different from the infinity of the natural numbers. Or that the infi...Fri, 03 Apr 2026 12:47:00 GMThttps://math.stackexchange.com/questions/36289/is-infinity-a-numberFor infinity, that doesn't work; under any reasonable interpretation, $1+\infty=2+\infty$, but $1\ne2$. So while for some purposes it is useful to treat infinity as if it were a number, it is important to remember that it won't always act the way you've become accustomed to expect a number to act.Fri, 03 Apr 2026 08:08:00 GMThttps://math.stackexchange.com/questions/2299583/what-is-frac1-inftyNote that stating the reverse is more delicate, since we use to give a sign to infinity. Both $\lim\limits_ {x\to+\infty} \frac 1x=\lim\limits_ {x\to-\infty}\frac 1x=0$ but we cannot conclude $\frac 10=\infty$ because theoretically (at least for the usual real numbers) we would have to separate the positive case and the negative case.Sun, 05 Apr 2026 23:00:00 GMThttps://math.stackexchange.com/questions/127376/i-have-learned-that-1-0-is-infinity-why-isnt-it-minus-infinityThis resolves your problem because it shows that $\frac {1} {\epsilon}$ will be positive infinity or infinite infinity depending on the sign of the original infinitesimal, while division by zero is still undefined. This viewpoint helps account for all indeterminate forms as well, such as $\frac {0} {0}$.Sun, 05 Apr 2026 07:58:00 GMT