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Re: Long, boring thread proving division by 0 is undefined

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PsychoBob is not online. PsychoBob
Joined: 08 Jul 2009
Total Posts: 11047
14 Jan 2012 03:38 PM
This is adressed to the 3 people who care.

What is 1/0?

Well, the answer is pretty simple.

Let y = 1/x.

Now, let's do a few examples:
x = 5, y = 1/5
x = 4, y = 1/4
x = 3, y = 1/3
...but what happens when x gets closer and closer to 0?
x = 1, y = 1
x = .5, y = 2
x = .001, y = 1000
x = .000001, y = 1,000,000

Now imagine a decimal, which has an infinite amount of zeros, followed by a 1 at the very last digit.

.00000000000000...0000001 (remember ... means "and so on")
Which can be represented as 1/infinity.
x = 1/infinity, y = infinity
Which is technically true. And 1/infinity is practically zero.

So, you might argue that 1/0 = infinity...right?
Actually, you're still wrong.
x = -3, y = -1/3
x = -2, y = -1/2
x = -1, y = -1
...
x = -1/inf, y = -infinity

Negative infinity is likely a new concept to you, but I bet you know what it means.

Now, if 1/inf = 0, then -1/inf MUST equal 0 also. (Remember, it doesn't straight up equal 0, it just means that it's so insignificant that it might as well be 0).

So we have two answers here for 1/0. Positive infinity, and negative infinity.
Since 1/0 is TECHNICALLY rational (1 and 0 are both integers and they are both in a ratio) yet has two radically different answers, the answer is undefined.


TL;DR: 1/0 has two answers, positive and negative infinity. Since 1/0 is a rational number with two answers, the answer is undefined. No black holes are going to open.
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Destroyer165 is not online. Destroyer165
Joined: 04 Aug 2010
Total Posts: 2861
14 Jan 2012 03:40 PM
I see...
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jack3345 is not online. jack3345
Joined: 19 Mar 2008
Total Posts: 18447
14 Jan 2012 03:40 PM
Boring
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PsychoBob is not online. PsychoBob
Joined: 08 Jul 2009
Total Posts: 11047
14 Jan 2012 03:44 PM
@jack

I know that
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eROMO is not online. eROMO
Joined: 31 Jan 2009
Total Posts: 1101
14 Jan 2012 03:45 PM
Holy Sheet :o
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lion9031 is not online. lion9031
Joined: 27 Jan 2011
Total Posts: 14344
14 Jan 2012 03:46 PM
Isn't it like I have 10 cookies but no one wants to eat them

so who gets what
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hyper91 is not online. hyper91
Joined: 21 May 2008
Total Posts: 4499
14 Jan 2012 03:46 PM
Your paragraph contains an extraordinary amount of information and has surpassed the length which managed to keep my attention; Consequently, I had no gander at your materials and made no attempt to absorb the information inherit within.
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