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nitinz570Best ResponseYou've already chosen the best response.0
@Callisto @TuringTest please help ...
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.4
0/0 is not undefined...it is indeterminate
 one year ago

nitinz570Best ResponseYou've already chosen the best response.0
what that does mean actually? @lgbasallote
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
this is not an easy question to answer it has to do with different ways you can approach this limit
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.4
the value cannot be determined...thus INdeterminate
 one year ago

nitinz570Best ResponseYou've already chosen the best response.0
Oh no problem @TuringTest , I understand the problem @lgbasallote thanks a lot
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.4
there are a few main reasons why: 1) it conflicts between the rule that a number divided by itself is 1; and the rule that 0 divided by anything is 0. thus it conflicts whether the value is 1 or 0. so you cant determine if it is 1 or 0. 2) another reason is because there are infinite values that will give you 0 when multiplied by 0. so you cant determine which number is the right one.
 one year ago

nitinz570Best ResponseYou've already chosen the best response.0
Well @mathslover Recommend this site .. how to use this?
 one year ago

panlac01Best ResponseYou've already chosen the best response.1
already sent him info on indeterminate
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
for example\[\lim_{x\to0}\frac xx=1\]but\[\lim_{x\to0}\frac{2x}x=2\]but both are mathematically equivalent to \[\frac00\]in the l;imit hence if we admitted\[\frac00\]into the set of numbers and gave it a value it would be inconsistent in mathematics and destroy the whole system effectively.
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
\[\lim_{x\to0}\frac{x^2}x=0\]etc. it would be an "inconsistent formal system"
 one year ago

SUROJBest ResponseYou've already chosen the best response.0
to easily understand this concept let's take an example of (10/2) which is same as 5, and (5/5) is same as 1, but we can't say (0/0) as 1 simply because 0 on numerator is equal to zero on denominator, and (0/0) is undefined..... we don't know what it is.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.4
@SUROJ (0/0) is not undefined
 one year ago

SUROJBest ResponseYou've already chosen the best response.0
@lgbasallote why x/0 is undefined? curious
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.4
okay let's say for example x = 2 2/0 can you give me a number that when you multiply to 0 the answer is 2?
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
I think that technically both are undefined 1/0 is undefined but *not* an indefinite form 0/0 is an indefinite form. Is it also undefined? I think so...
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.4
i think the best term for 0/0 is indeterminate..
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
any division by zero is undefined, so x/0 is undefined 1/0 undefined and not indefinite 0/0 undefined and indefinite that's my understanding
 one year ago

dumbcowBest ResponseYou've already chosen the best response.1
my way of thinking is undefined refers to an infinite number that is not defined but we relatively know its really big or really small(big negative) indeterminate means we have no idea what the value is
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
I meant "indeterminate" when I said "indefinite" :/ so do you say that 1/0 is indeterminate or not?
 one year ago

dumbcowBest ResponseYou've already chosen the best response.1
no i would say its not indeterminate because we know the limit of 1/x as x>0 is infinity
 one year ago

panlac01Best ResponseYou've already chosen the best response.1
1/0 is not indeterminate
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
ok I agree with that just making sure we're all on the same page
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
0*1 = 0 0*2 = 0 0*dog = 0 0*nitinz570 = 0 can you tell particularly for what values you are getting 0..??
 one year ago

dumbcowBest ResponseYou've already chosen the best response.1
the indeterminate forms are: 0/0 inf/inf 0*inf
 one year ago

panlac01Best ResponseYou've already chosen the best response.1
1/0 is complex infinity
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
0^0 debated at times
 one year ago

waterineyesBest ResponseYou've already chosen the best response.0
\(0^0\) is also undetermined..
 one year ago

panlac01Best ResponseYou've already chosen the best response.1
see how the mayan's gave mathematicians more to debate about?
 one year ago

SUROJBest ResponseYou've already chosen the best response.0
there are 7 indeterminate forms in nature
 one year ago

panlac01Best ResponseYou've already chosen the best response.1
just check wolfram mathworld.
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
mathematicians debate whether or not \(0^0=1\) or not Euler, for instance, thought it did
 one year ago

SUROJBest ResponseYou've already chosen the best response.0
0/0, infinity/infinity, 0^infinity, 1^infinity, 0^0, infinity^0, infinityinfinity
 one year ago

panlac01Best ResponseYou've already chosen the best response.1
if 0^0 =1 then 0/0 = 1 also
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
http://www.faqs.org/faqs/scimathfaq/specialnumbers/0to0/?PHPSESSID=40fdcce21f158a5d17267b711e395947#b not true panlac
 one year ago

panlac01Best ResponseYou've already chosen the best response.1
http://mathworld.wolfram.com/Indeterminate.html
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
mathematicians *define* \(0^0=1\) because of a number of arguments btw note that your reference is Thomas and Finney 1996, pp. 220 and 423; Gellert et al. 1989, p. 400 and there are other equally reputable books and references that disagree if you read the article I linked you too, or some of those linked to it.
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
*some* mathematicians  I meant above...
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
it is just very debated ti this day is all I generally treat it as undefined as well
 one year ago

panlac01Best ResponseYou've already chosen the best response.1
yeh. my math professor is one of those who thinks the same way. but she teaches it as indeterminate
 one year ago

TuringTestBest ResponseYou've already chosen the best response.4
It makes more sense to me as well, I'm just pointing out the discrepancy out there...
 one year ago

panlac01Best ResponseYou've already chosen the best response.1
trust me, it does to me also
 one year ago

Herp_DerpBest ResponseYou've already chosen the best response.0
For x not equal to 0, x/0 is defined (as a number, not necessarily as a limit) in a 1point compactification of the reals (the projectively extended real numbers) or the complex numbers (the extended complex plane), and is equal to infinity. However, 0/0 (as a number) is still undefined in these settings.
 one year ago

dumbcowBest ResponseYou've already chosen the best response.1
btw the limit of x^x as x>0 is 1 , which i believe is a strong argument for equating 0^0 to 1
 one year ago

mathsloverBest ResponseYou've already chosen the best response.0
Nice discussion and also : \[\huge{\mathbb{Welcome}\textbf{To}\mathbb{Open}\textbf{Study}}\]
 one year ago
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