Infinity * Zero = Any Number ARGUE HERE

[GuidoHunter]

Re: Infinity * Zero = Any Number ARGUE HERE

Read the thread before you post in it. Also, don't double post and get some decent grammar.

--Guido

http://andy.mikee385.com

[Reach]

Re: Infinity * Zero = Any Number ARGUE HERE

this is just like pi

btw x/inf gets you a very small # provided x does not = 0
it just tiny .00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
still aint 0 no matter how many 0 you add

The reason this isn't true is hard for most people to understand because of the concept of infinity itself.

Infinity does not have a quantifiable 'rate'...that is, you cannot imagine a number that is constantly getting smaller and smaller like you have shown here. It is false to do so.

Infinity exists without any bounds, and therefore its rate has no bounds. Instead of imagining what you have just shown, take a minute to try and imagine what would happen if you let those zeros extend such that they exist everywhere that can exist at any given point in time.

Difficult, isn't it? But what happens to that one? It's gone! You'll never find it. The unbounded set of zeros infront of it exist everywhere that can exist, unbounded annihilating the 1.


If anything, just remember that you cannot quantify the value of infinity in this case.

[EI_Tizzy]

Re: Infinity * Zero = Any Number ARGUE HERE

Sorry to be an ogre (especially if I turn out to be wrong) but....

The limit as x approaches infinity of sin 1/x does not equal 1. The sin of 0 does not equal 1.

Sorry to be an ogre, as well, but:

For instance, take the limit of x sin(1/x) as x goes to infinity. The "x" term will approach infinity (obviously), and the "sin(1/x)" term approaches 0. Yet, as we can see on a graphing calculator, the ends of this equation clearly go to 1. So in this case, infinity x 0 = 1.

I said it was 0, but the limit of xsin(1/x) is 1.

Like it's been said many times before, we ALL know X can never reach infinity... but if we couldn't ASSUME it does, Calculus couldn't ever work, and most of the technology you use today wouldn't be able to function, just because things can't be quantized into infinitely small/large parts.


Calculus is SOOO awesome too. You can prove that 1^infinity is exactly e... or any power of e for that matter. I guess some people won't learn until it's presented in front of them, which obviously can't happen as infinity isn't a concrete idea. Oh well XD

[lord_carbo]

Re: Infinity * Zero = Any Number ARGUE HERE

Calculus is SOOO awesome too. You can prove that 1^infinity is exactly e... or any power of e for that matter. I guess some people won't learn until it's presented in front of them, which obviously can't happen as infinity isn't a concrete idea. Oh well XD

Maybe my informal education is limited, but I'm fairly certain you can't "prove" 1^inf is equal to any power of e because, well, 1^inf isn't even really equal to anything and e is a mathematical constant.

[rel89]

Re: Infinity * Zero = Any Number ARGUE HERE

I can't agree that -infinite exists.

[Raveren]

Re: Infinity * Zero = Any Number ARGUE HERE

Heh, this great, I can't wait till I take Calculus AP next year....

[RandomPscho]

Re: Infinity * Zero = Any Number ARGUE HERE

Which Ap course? AB or BC? Just A?

[bluguerrilla]

Re: Infinity * Zero = Any Number ARGUE HERE

Maybe my informal education is limited, but I'm fairly certain you can't "prove" 1^inf is equal to any power of e because, well, 1^inf isn't even really equal to anything and e is a mathematical constant.

The reason that you can say that "1^infinity" can be anything is because it is an indeterminate form -- you have to get there somehow. Usually you start with an expression like (1-1/x)^x and you consider what this is equal to as x goes to infinity. If you just put in infinity you get "1^infinity" but if you do it carefully you get 1/e. It's the "doing it carefully" and not naively part that gets people in trouble.

So, you really can say that "1^infinity" can be anything, especially if you change that expression above to be (1-y/x)^x. Then you get e^-y as the limit, which can be any real number (yes even zero).

[lord_carbo]

Re: Infinity * Zero = Any Number ARGUE HERE

I can't agree that -infinite exists.

It does, and if you take/learn calculus you'll use it.

The reason that you can say that "1^infinity" can be anything is because it is an indeterminate form

1^infinity isn't indeterminate--it's undefined. There's a difference. And AFAIK, expressions can't be indeterminate because you're not solving for anything in an expression, but that's irrelevant either way.

[Kilgamayan]

Re: Infinity * Zero = Any Number ARGUE HERE

Why do people keep posting in this thread? x(

[Linkisdoomed]

Re: Infinity * Zero = Any Number ARGUE HERE

Here's my two cents:

Infinity = any number
x = variable (any real, nonreal, imaginary number)
0 = nothing.

Infinity * X = Any real, nonreal, imaginary number.
" * 0= Nothing. Anything * 0 = absolutely nothing.

[lord_carbo]

Re: Infinity * Zero = Any Number ARGUE HERE

Why do people keep posting in this thread? x(

Because people feel like they can put their "two cents" on fact, e.g. the post above me.

[RandomPscho]

Re: Infinity * Zero = Any Number ARGUE HERE

STOP POSTING IN THIS THREAD. Please.

Infinity * 0 = Undefined.

[bluguerrilla]

Re: Infinity * Zero = Any Number ARGUE HERE

It does, and if you take/learn calculus you'll use it.


1^infinity isn't indeterminate--it's undefined. There's a difference. And AFAIK, expressions can't be indeterminate because you're not solving for anything in an expression, but that's irrelevant either way.

http://en.wikipedia.org/wiki/Indeterminate_form

Uhh... yes it is /\ and no it isn't \/

http://en.wikipedia.org/wiki/Undefined

Edit: Even better: http://mathworld.wolfram.com/Indeterminate.html

[lord_carbo]

Re: Infinity * Zero = Any Number ARGUE HERE

http://en.wikipedia.org/wiki/Indeterminate_form

Uhh... yes it is /\ and no it isn't \/

http://en.wikipedia.org/wiki/Undefined

Edit: Even better: http://mathworld.wolfram.com/Indeterminate.html

Oh.

Edit: OH.