infinity is NOT a value, is just a concept.
and 0/0 is UNDEFINED...
2006-12-10 01:21:23
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answer #1
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answered by lola l 1
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The value of 0/0 is indeterminate. Further analysis is necessary to determine what it really is. The most famous example is sinx/x
When x = 0 this becomes 0/0.
However if you use L'Hospital's .Rule you find that this is the same as cos x /1 which =1 when x=0. So the limit of (sin x)x as x approaches zero is 1. Try graphing sinx/x on your calculator and you will see that when x= 0 (sin x)/x is 1.
There are many other examples and all must be further examined to find out the true value. In general anything divided by zero is said to be undefined or said to approach infinity. But this is not necessarily true for the special case of 0/0.
2006-12-10 09:32:26
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answer #2
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answered by ironduke8159 7
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It's undefined; anything over zero is undefined in the real of real numbers.
Later on though in the topics of Calculus, we study limits of this indeterminate form, and the LIMIT of functions of the form 0/0 can converge to some value or diverge to infinity or nothing.
2006-12-10 09:20:18
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answer #3
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answered by Puggy 7
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It is not infinity...
Any number/0 = infinity
0/Any number = 0
0/0 is indeterminate....
2006-12-10 09:22:30
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answer #4
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answered by Noor O 2
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0/0 is not define.
2006-12-10 09:23:35
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answer #5
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answered by pikapoka 2
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You can't divide by zero because that's simply not doing anything. 0/0 is just nothing.
2006-12-10 09:23:19
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answer #6
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answered by Anonymous
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lim m/x = â
x->0
lim 0/x = 0
x->0
₢
2006-12-10 12:55:16
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answer #7
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answered by Luiz S 7
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it is indeterminate
2006-12-10 09:18:57
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answer #8
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answered by raj 7
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