Why doesn't division have a limit like this instead of being undefined?
lim x->0 1/x = inf
1/x cannot be simplified any, so you're still placing 0 as the x making it 1/0 which is undefined.
That is because..
The limit from the right is:
[code] lim 1/x = +∞
x -> 0+[/code]
but the limit from the left is:
[code] lim 1/x = -∞
x -> 0-[/code]
and therefore it is undefined, since lim x -> 0 can be either infinity or negative infinity.
I think calculators should be programmed to respond with "No" if you try to divide by zero.
( )
There.
But you didn't just divide by zero, did you?
[QUOTE=Neckbeard;17986514]I think calculators should be programmed to respond with "No" if you try to divide by zero.[/QUOTE]
And eventually "Stop going to 4chan", just to be sure.
If you divide by zero, dont you get the same number?
I mean, none out of nine is nine, right?
[QUOTE=Swimbound;17992199]If you divide by zero, dont you get the same number?
I mean, none out of nine is nine, right?[/QUOTE]
No, it's none since it's none out of nine, therefore there is nothing out of nine, therefore none.
[QUOTE=HellNaw;17992209]No, it's none since it's none out of nine, therefore there is nothing out of nine, therefore none.[/QUOTE]
x/0 = 0
=>
x * 0 = 0
x = anything
, hence undefined.
[QUOTE=Swimbound;17992199]If you divide by zero, dont you get the same number?
I mean, none out of nine is nine, right?[/QUOTE]
x/0 = x
Does not work when x ≠ 0
Because x * 0 = 0
(9 * 0 ≠ 9)
So for this case x can only be 0
=>
0/0 = x
=>
x * 0 = 0
x = anything
, hence undefined.
[QUOTE=Rad McCool;17992426]x/0 = 0
=>
x * 0 = 0
x = anything
, hence undefined.
x/0 = x
Does not work when x ≠ 0
Because x * 0 = 0
(9 * 0 ≠ 9)
So for this case x can only be 0
=>
0/0 = x
=>
x * 0 = 0
x = anything
, hence undefined.[/QUOTE]
Wouldnt x be zero?
Anything *0 is 0.
0 * 0 is 0, so isnt 9 / 0, 0?
[QUOTE=Swimbound;17992642]Wouldnt x be zero?
Anything *0 is 0.
0 * 0 is 0, so isnt [b]9 / 0, 0?[/b][/QUOTE]
No, because that would mean that 0 * 0 = 9, which is not true.
I'm gonna kill my self because of the numbers
-snip- fuck it
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