Infinity/infinity = infinityOriginally Posted by Tavrobel
These two can't be evaluated, actually. The problem with using infinity interchangeably with large numbers is that it doesn't work. You can;'t use it like that.
There is no difference; it's not infinitely small, it's non existent.
This one demands the theory of L'opital. You have to differentiate both formulas until infinity is on only one side of the divider.
SOMEONE SAVE US FROM THE WRETCHED FUTILE ARGUMENT
Guys, guys, guys. If there is a proof (<a href = "http://en.wikipedia.org/wiki/0.999#Proofs">and there are several</a>) of something, THEN IT IS PROVEN TO BE TRUE AND THERE IS NO REASON TO DEBATE ABOUT IT.
How many people here are mathematics professors? How many? Raise your hands high. If your hand isn't raised, STOP smurfING DEBATING THIS.
*closes thread*
Because wikipedia has a foundation in truthful topics?
It's all debateable, my friend.
Show me your mathematics PhD.
Also, all of the proofs are referenced.
BLIND ACCEPTANCE. MATH = SCIENCE = RELIGION?
No, wrong. There is no difference at all. They are just as equal as 1/3 and 0.333.... "Infinitely small" is a meaningless term. The only useable definition would perhaps be lim (x->infinity) of (1/x), which equals 0 anyway.
Last edited by Raistlin; 07-20-2009 at 07:19 PM.
Agreed. You can debate the merits of the claim, but often with mathematical theorems, any attempt to debate it usually requires showing an error in the proof. This requires an understanding of what the proof is attempting to show.Because wikipedia has a foundation in truthful topics?
It's all debateable, my friend.
Just because it's debatable doesn't mean it's not futile though. For example arguing against the claim that 2 > 1 is silly. Or not understanding that 2 = 1 + 1 and demanding a proof shows an elementary misunderstanding of the relationship between numbers.
I am personally shocked that the concept of infinitesimals have not been brought up.
DARN IT PG SHUSH! Oh crap, here goes
well for for the dif between .9999.... and 1 to be infinitesimal, .999... would eventually have to end witch it dosent so there is no need to bring that up in this discussion
As much as the Encyclopedia Brittanica doesBecause wikipedia has a foundation in truthful topics?
It's all debateable, my friend.
the only number that can be between .999... and 1 is .00...01 where there are an infinite amount of zeroes. However, eventually, we reach a stop at the 01 where the 9s continue forever, and when that is the case you reach a number where n > 1.
.999... for all intensive purposes has no mathematical difference to 1
Well, we know that but not the people who were wrong know that and it would stand to reason that if you don't understand why .9... == 1, then you wouldn't understand limits and differentiation, anyways, which means it effectively couldn't be evaluated. Besides, it could equal zero too.
Denmark, it takes way less than a PhD to argue mathematics. Just ask a computer science major.
yeah you only need a bachelor
I understood and accepted that .999... = 1 when I was 13 when it was first explained to me. Not the calculus proof, of course, which involves limits, but the algebraic ones are easy enough to understand.
According to Arithmetic: 0/0 = 1, 0, undefined (infinity) too...
Marick, I will smack you.
How can you even have a 1 at the END of an "infinite amount of zeroes?" That's a contradiction. If the zeroes are infinite, there is no end.the only number that can be between .999... and 1 is .00...01 where there are an infinite amount of zeroes.
1. It's "for all intents and purposes.".999... for all intensive purposes has no mathematical difference to 1
2. Not only is it true for all intents and purposes, it doesn't even need that qualification. It's EXACTLY equal.
EDIT: haha, I thought you'd edited your post but I realized it was on the end of my last page that I had missed earlier.
EDIT 2:Only one of those is right (undefined). And undefined does not equate to infinity, it means just what it says: undefined.According to Arithmetic: 0/0 = 1, 0, undefined (infinity) too...
I should have explained that better.
The arithmetic part was a joke.
And, in the .00...01 example, I even disproved it.
That said, it's still funny why anyone argues over it.
I could say infinity/infinity = 1, infinity.
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