But isn't infinity large enough to change that ;)

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Mats

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- 08-18-2008matsp
- 08-18-2008@nthony
infinity * zero is undefined as is 5/0. the limit of the latter is another story (inf).

- 08-18-2008cpjust
- 08-18-2008tabstop
- 08-18-2008cpjust
- 08-18-2008Thantos
Well to begin with infinity is not a number. You really can't multiply, divide, add, or subtract it. We can however talk about a function that goes to infinity given a certain condition.

inf * 0 is an indeterminate form as it depends on what f(x) and g(x) really are. Say f(x) goes to infinity twice as fast as g(x) goes to 0 you'll get a different result then if the situation was reversed. - 08-19-2008Sang-drax
- 08-19-2008tabstop
- 08-19-2008Daved
>> And since when did canceling in multiplication give zero?

1 = 0. See first post. - 08-19-2008Thantos
I think he thinks that:

Code:`x * 0 = 1 * 0 = 0 = 0`

- - - - -

0 x 0 1 0

- 08-19-2008cpjust
Well it's been a while since I've done that kind of math, but now that I think of it, yes that's what I meant. ;)

But putting all the math stuff aside for a second - aren't 0 and infinity exact opposites?

I mean infinity is basically everything, whereas 0 is nothing. So combine them together and they annihilate each other like matter and antimatter. :D - 08-19-2008Thantos
Um no. If anything would be opposites it would be inf and -inf but even those are just concepts.

Just think about this for a bit: Suppose you had f(x) and g(x). One goes to infinity and the other goes to zero as x approaches some value. Now if f(x) is changing faster then g(x) wouldn't you expect to get a different answer then if the g(x) was changing faster then f(x)? - 08-19-2008cpjust
- 08-19-2008Thantos
Reread what I said again. One goes to inf and one goes to 0. Not that both go to inf.

- 08-19-2008cpjust