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infinity learndesktop app for mac windows pc webcatalog represents a topic that has garnered significant attention and interest. What is infinity divided by infinity? - Mathematics Stack Exchange. 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 What exactly is infinity? Definition: 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 ". Moreover, can I subtract infinity from infinity? Can this interpretation ("subtract one infinity from another infinite quantity, that is twice large as the previous infinity") help us with things like $\lim_ {n\to\infty} (1+x/n)^n,$ or is it just a parlor trick for a much easier kind of limit?

Why is $\infty\times 0$ indeterminate? In particular, infinity is the same thing as "1 over 0", so "zero times infinity" is the same thing as "zero over zero", which is an indeterminate form. In relation to this, your title says something else than "infinity times zero".

It says "infinity to the zeroth power". One divided by Infinity? Similarly, 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. complex analysis - Infinity plus Infinity - Mathematics Stack Exchange. Infinity plus Infinity Ask Question Asked 13 years, 7 months ago Modified 6 months ago Types of infinity - Mathematics Stack Exchange. I 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.

limits - Infinity divided by infinity - Mathematics Stack Exchange. Infinity divided by infinity Ask Question Asked 7 years, 10 months ago Modified 7 years, 10 months ago In this context, is 1 + infinity > infinity? My argument is that if $1 + \infty > \infty$ then there exists a number greater than $\infty$, disproving the concept of infinity, because you can't simply add $1$ to infinity, because infinity is ever increasing.

What is imaginary infinity, $i\lim\limits_ {x \to \infty} x = i\infty$?. The 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.