as stated, that is indeterminate. Now if you were looking at limits and the numerator approached zero as well as the denominator, then the answer could be any number between negative infiniti and positive infiniti depending on the nature of the numerator and denominator
2006-12-01 06:50:57
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answer #1
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answered by Greg G 5
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Any value divided by zero is undefined.
Later, in Calculus II, you'll learn that [0/0] is a certain indeterminate form in the topic of limits you can take advantage of, however.
But as it stands, without taking any limits into this, anything divided by zero is undefined.
2006-12-01 15:02:49
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answer #2
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answered by Puggy 7
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0/0 is undefined or indeterminate.
Take the case of (x^2-1)/(x-1)
When x = 1 this becomes 0/0
But wait: (x^2-1)/(x-1)=[(x-1)(x+1)]/(x-1) = x+1 so when x = 1 this becomes 1+1=2. This is why we say it is indeterminate.
Another example is sinx/x
When x = 0 we have 0/0
But in calculus, you will learn that the limit of sin x/x as x gets as close as you want to 0 is 1.
2006-12-01 15:11:22
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answer #3
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answered by ironduke8159 7
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With constants, it is indeterminate. However, if the result of a function is 0/0, then you can simplify it using L'Hopital's rule:
If f(x) = 0 and g(x) = 0
(OR if f(x) = infinity and g(x) = infinity; L'Hopital's rule works for both of these cases):
f(x)/g(x) = f'(x)/g'(x)
If you take the derivatives of f(x) and g(x), the resulting ratio can be simplified as you normally would, e.g. something of the form:
â/m(x) = â
m(x)/0 = â
m(x)/â = 0
0/m(x) = 0
0/â = 0
m(x)/n(x) = their ratio (if k(x)/n(x) <> 0/0)
If you get another indeterminate value (0/0 or â/â), use L'Hopital's rule again to continue simplifying.
You can also sometimes use L'Hopital's rule to determine the values of functions which evaluate to â*0, 0*â, c^â, â^0, or â - â. For example,
lim(x->â) x^2 * e^-x = â*0 -> not the proper form for L'Hopital
= lim(x->â) x^2 / e^x = â/â -> now we can use L'Hopital...
= lim(x->â) 2x / e^x = â/â -> use L'Hopital again...
= lim(x->â) 2 / e^x = 0/â = 0
2006-12-01 15:14:00
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answer #4
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answered by computerguy103 6
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0/0 is UNDEFINED...
Why? Because any number divided by zero is undefined...
Here are some examples:
5/0= undefined
80/0= undefined
-34/0= undefined
Try it in your calculator
But if we do like this:
0/5=?
0/80=?
0/-34=?
Try it in your calculator...
The answer is: ZERO...
Why? Because zero divided by any number is ZERO...
Remember that...
2006-12-01 23:46:37
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answer #5
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answered by rollover 2
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I think anything divided by 0 is undefined..But I am not so sure...
2006-12-01 14:50:40
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answer #6
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answered by July 1
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0/0 is undefined.
2006-12-01 15:46:22
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answer #7
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answered by yupchagee 7
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My calculator says "error". So I would think "undefined".
2006-12-01 15:02:06
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answer #8
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answered by MustangGT 2
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what do you think?
zero of course
2006-12-01 14:59:55
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answer #9
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answered by Anonymous
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undefined
2006-12-01 15:02:28
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answer #10
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answered by NIck 1
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