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Old 12-4-2006, 09:44 AM   #1
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Default Infinity * Zero = Any Number ARGUE HERE

I've been very curious about this, please post comments.

Proof:

Any number / Infinity = Zero -- because anything divided by infinity will be infinitely small or zero.

Therefore Infinity * Zero = Infinity -- when you put infinity on the other side.
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Old 12-4-2006, 12:00 PM   #2
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Default Re: Infinity * Zero = Any Number ARGUE HERE

I agree.
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Old 12-4-2006, 12:15 PM   #3
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Default Re: Infinity * Zero = Any Number ARGUE HERE

not how it works... you can't just multiply through by infinity. infinity over infinity is not one, it is still zero. therefore 0 = 0, no matter what.
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Old 12-4-2006, 12:39 PM   #4
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Default Re: Infinity * Zero = Any Number ARGUE HERE

lol math

Infinity/infinity is undefined, just like 0/0

so is infinity * 0

discussion over

ps, talis: infinity/infinity is DEFINITELY not 0, rofl
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Old 12-4-2006, 12:44 PM   #5
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Default Re: Infinity * Zero = Any Number ARGUE HERE

quiet I haven't done math in years.
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Old 12-4-2006, 12:54 PM   #6
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Default Re: Infinity * Zero = Any Number ARGUE HERE

As Shash stated, infinite * 0 is undefined, as is infinite * infinite and 0 * 0.
Isn't infinite * -infinite = -infinite ? Someone verify this please.

You can also look at limits.
lim n->infinite { c over n } = 0.

Now, consider lim n->infinite { n (c over n^2)}, lim n->infinite { n (c over n)}, and lim n->infinite { n^2 (c over n)}. Let c be a constant.
To solve these, use L'Hopital's rule or other limit evaluation methods.
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Old 12-4-2006, 01:20 PM   #7
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Default Re: Infinity * Zero = Any Number ARGUE HERE

positive infinity + negative infinity = zero, no?
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Old 12-4-2006, 01:31 PM   #8
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Default Re: Infinity * Zero = Any Number ARGUE HERE

Quote:
Originally Posted by itmorr View Post
As Shash stated, infinite * 0 is undefined, as is infinite * infinite and 0 * 0.
Uh read what you post before posting it...you just said 0 * 0 is undefined =P

Inf * inf = inf

0 * 0 = 0 (lol, obviously)

Inf * -inf = -inf

Inf - Inf = undef

also

0^inf = undef

1^inf = undef

inf/0 = inf

0/inf = 0

fun with infinity ITT
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Old 12-4-2006, 01:32 PM   #9
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Default Re: Infinity * Zero = Any Number ARGUE HERE

My TI-89 says they're both undefined.
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Old 12-4-2006, 01:34 PM   #10
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Default Re: Infinity * Zero = Any Number ARGUE HERE

Quote:
Originally Posted by Specforces View Post
My TI-89 says they're both undefined.
Which ones?
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Old 12-4-2006, 01:45 PM   #11
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Default Re: Infinity * Zero = Any Number ARGUE HERE

I wrote that out and posted that after the post you just posted. I was unaware of the the post that preceded my last post.
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Old 12-4-2006, 01:58 PM   #12
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Default Re: Infinity * Zero = Any Number ARGUE HERE

inifinity isn't really a number. it's more of a concept of the number line never ending.
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Old 12-4-2006, 02:00 PM   #13
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Default Re: Infinity * Zero = Any Number ARGUE HERE

Infinity is the amount of possible numbers.
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Old 12-4-2006, 02:04 PM   #14
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Default Re: Infinity * Zero = Any Number ARGUE HERE

Also, it's a possibility that the TI-89 is incorrect but it says the following:

0^inf= 0
1^inf= 1
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Old 12-4-2006, 02:31 PM   #15
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Default Re: Infinity * Zero = Any Number ARGUE HERE

Quote:
Originally Posted by Specforces View Post
Also, it's a possibility that the TI-89 is incorrect but it says the following:

0^inf= 0
1^inf= 1
TI-89 is wrong if it says that, although I'd like to check it out on mine...you're using the actual infinity key, right?
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Old 12-4-2006, 02:52 PM   #16
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Default Re: Infinity * Zero = Any Number ARGUE HERE

Don't mess with infinity.
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Old 12-4-2006, 02:52 PM   #17
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Default Re: Infinity * Zero = Any Number ARGUE HERE

But isn't 1^x always 1?
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Old 12-4-2006, 02:54 PM   #18
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Default Re: Infinity * Zero = Any Number ARGUE HERE

Quote:
Originally Posted by Shashakiro View Post
TI-89 is wrong if it says that
what

It doesn't matter how many times you multiply one by one, you'll still get one. At no point in the number line does 1^x go OH HEY I'M GOING TO DEVIATE AND BE SIXTY THREE

Same with zero.

ur rong
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Old 12-4-2006, 02:54 PM   #19
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Default Re: Infinity * Zero = Any Number ARGUE HERE

Yes, I'm using the actual infinity key, and I thought so RandomPscho.

As long as X is greater than or equal to 0 that should be the case.
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Old 12-4-2006, 02:56 PM   #20
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Default Re: Infinity * Zero = Any Number ARGUE HERE

Quote:
Originally Posted by Specforces View Post
Yes, I'm using the actual infinity key, and I thought so RandomPscho.

As long as X is greater than or equal to 0 that should be the case.
what

1^(-2000)
=1/(1^2000)
=1/1
=1

no pretty sure it's any number
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