/sci/ - Science & Math

[mothergoose !!DUwV6rmVW4k No.4355389]

What is infinity divided by infinity?

[Anonymous No.4355390]

1, or infinity

[Anonymous No.4355391]

Undefined

[Anonymous No.4355392]

Infinity is not a number

[mothergoose !!DUwV6rmVW4k No.4355405]

>>4355392

yes. precisely.

[Anonymous No.4355406]

Considering there are multiple types of inifinity, who knows.

[Anonymous No.4355407]

http://en.wikipedia.org/wiki/L%27H%C3%B4pital%27s_rule

one case

[Anonymous No.4355435]

1

[Anonymous No.4355438]

<span class="math">\infty + \infty = 2\infty[/spoiler]
<span class="math">\infty - \infty = 0[/spoiler]
<span class="math">\infty x \infty = \infty^2[/spoiler]
<span class="math">\frac{\infty}{\infty} = 1[/spoiler]

/thread

[Anonymous No.4355439]

if you use nonstandard analysis it's 1

[Anonymous No.4355504]

rational infinity divided by rational infinity equals one.
irrational infinity divided by rational inifinty equals two.

Am I doing it right?

[Anonymous No.4355511]

>>4355438
>>4355438
no fucker
tha answer is undefined
and infinity is not a numbar

[Anonymous No.4355578]

Infinity is not a number. It is one of several variations of a concept. Usually it means the lack of a limit. Saying "x approaches infinity" means "x gets larger and larger without any limit". Also infinity can be the idea that it is always larger than any finite number, like an infinite set is a set that is larger than any other finite sets. In set theory, there are an infinite number of set sizes for infinite sets. For example the size of the set containing all positive integers is <span class="math"> \aleph_0 [/spoiler], while the set of all real numbers has size <span class="math"> \mathfrak [/spoiler], which can be proven to be larger. In this branch of math, division has no meaning. Of course, there are other mathematical system, where division with infinity is defined. In most traditional systems though, infinity is neither a number, a vector, or a matrix, so operations involving infinity are undefined.
When somebody says <span class="math"> \infty + 5 = \infinity [/spoiler], they mean <span class="math"> lim_{x \to \infty} x + 5 = \infty [/spoiler]. In order words, the expression "x+5" gets bigger and bigger without slowing down, as x gets bigger and bigger without slowing down.

[Anonymous No.4355667]

>>4355511

Autism at its best.

[Anonymous No.4355714]

>>4355392
I fucking loathe you people. Did the OP ask if infinity was a 'number'? This post is about dividing one infinity by another. As has been said, typically undefined, 1 for non standard analysis.

[Anonymous No.4356732]

infinity/infinity = 1

Was it really that hard?