A community for students.
Here's the question you clicked on:
 0 viewing
nitinz570
 3 years ago
Having a conceptual problem
why is 0/0 undefined?
nitinz570
 3 years ago
Having a conceptual problem why is 0/0 undefined?

This Question is Closed

nitinz570
 3 years ago
Best ResponseYou've already chosen the best response.0@Callisto @TuringTest please help ...

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.40/0 is not undefined...it is indeterminate

nitinz570
 3 years ago
Best ResponseYou've already chosen the best response.0what that does mean actually? @lgbasallote

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

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.4the value cannot be determined...thus INdeterminate

nitinz570
 3 years ago
Best ResponseYou've already chosen the best response.0Oh no problem @TuringTest , I understand the problem @lgbasallote thanks a lot

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.4there 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.

nitinz570
 3 years ago
Best ResponseYou've already chosen the best response.0Well @mathslover Recommend this site .. how to use this?

panlac01
 3 years ago
Best ResponseYou've already chosen the best response.1already sent him info on indeterminate

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.4for 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.

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

SUROJ
 3 years ago
Best ResponseYou've already chosen the best response.0to 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.

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.4@SUROJ (0/0) is not undefined

SUROJ
 3 years ago
Best ResponseYou've already chosen the best response.0@lgbasallote why x/0 is undefined? curious

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.4okay 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?

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.4I 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...

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.4i think the best term for 0/0 is indeterminate..

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.4any 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

dumbcow
 3 years ago
Best ResponseYou've already chosen the best response.1my 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

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

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

panlac01
 3 years ago
Best ResponseYou've already chosen the best response.11/0 is not indeterminate

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.4ok I agree with that just making sure we're all on the same page

waterineyes
 3 years ago
Best ResponseYou've already chosen the best response.00*1 = 0 0*2 = 0 0*dog = 0 0*nitinz570 = 0 can you tell particularly for what values you are getting 0..??

dumbcow
 3 years ago
Best ResponseYou've already chosen the best response.1the indeterminate forms are: 0/0 inf/inf 0*inf

panlac01
 3 years ago
Best ResponseYou've already chosen the best response.11/0 is complex infinity

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.40^0 debated at times

waterineyes
 3 years ago
Best ResponseYou've already chosen the best response.0\(0^0\) is also undetermined..

panlac01
 3 years ago
Best ResponseYou've already chosen the best response.1see how the mayan's gave mathematicians more to debate about?

SUROJ
 3 years ago
Best ResponseYou've already chosen the best response.0there are 7 indeterminate forms in nature

panlac01
 3 years ago
Best ResponseYou've already chosen the best response.1just check wolfram mathworld.

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

SUROJ
 3 years ago
Best ResponseYou've already chosen the best response.00/0, infinity/infinity, 0^infinity, 1^infinity, 0^0, infinity^0, infinityinfinity

panlac01
 3 years ago
Best ResponseYou've already chosen the best response.1if 0^0 =1 then 0/0 = 1 also

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

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.4mathematicians *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.

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.4*some* mathematicians  I meant above...

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.4it is just very debated ti this day is all I generally treat it as undefined as well

panlac01
 3 years ago
Best ResponseYou've already chosen the best response.1yeh. my math professor is one of those who thinks the same way. but she teaches it as indeterminate

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.4It makes more sense to me as well, I'm just pointing out the discrepancy out there...

panlac01
 3 years ago
Best ResponseYou've already chosen the best response.1trust me, it does to me also

Herp_Derp
 3 years ago
Best ResponseYou've already chosen the best response.0For 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.

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

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.0Nice discussion and also : \[\huge{\mathbb{Welcome}\textbf{To}\mathbb{Open}\textbf{Study}}\]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.