1/0 = Undefined or Infinity: Easy proof to understand with a real world example.

[jasminejanneth]

Thank you! I always wondered what my professor meant when she would say that the values of 1/0 get increasingly large. It makes sense with the chart

[TheLMBLucas]

So many people confused in the comments. 1/0 = infinite when we are talking about LIMITS. Because in limits, 0 is actually a representation like the video shows in the chart. This 0 is never a real 0. This 0 represents a number like or lower, and we could go forever adding 0, which would make 1/those numbers something really really big... infinitely big (or small if it is -1/0).

[AliHassan-dpsf]

We can also use a more simple definition fraction -> a/b, that is define as, how many time we can subtract a from b, , if we take a fraction 1/0
1-0 that will be infinite because we can subtract 1 from 0 infinite times

[md.shahriarhassan]

Nice. Thank you very much from Bangladesh ❤❤❤

[mathacademy]

Please, tellme, which program do you use to make videos ?

[anom]

Wow now I understand easily 🙂 thank you

[ynot]

Why isn't the answer 1. If you have 1 and you don't divide it then you still have the original 1. I understand if you didn't divide something then the option of how many times it's possible to divide is infinite but that's not the question. The question is how many times was it divided. If it didn't get divided then it should be the original number and that's why 1/0 is interesting

[karlcossaboon]

the limit as x approaches 0 for 1/x is infinity.
but 1/0 is undefined.
because if 1/0 = x multiply both sides by 0 you get 1 = 0.
bam.

[TcoTuesday]

it makes sense because 1/0 is like having to multiply 0 enough times to get 1, but it would be infinity, since anything times 0 is 0

[prabhatdubey]

How is it possible that 1/0 is equal to both undefined and infinity

[spixels]

∞ is not a value itself, not like a specific number (like 1, 2 or 47)
One can imagine 1 / 0 = ? as a computer trying to add 0 + 0 + 0 + .... until it gets result of 1,
but it will be doing it forever, so you will never get its answer (un-defined answer)

[AG-itim]

There’s a problem with 1/0 = infinity and that’s because when you graph the function 1/x and approach x from the negative end you go towards negative infinity so logically 1/0 can’t equal infinity because when x=0 you’ll have 2 end points if both positive and negative infinity. Therefore 1/0 is undefined

[XBGamerX]

we can mathematically say yes and no that a/0 in general is undefined

we can say f(x) = a/x represents a graphical expression with 2 lines that never meet, either of them going to infinity as they approach 0 in the x axis or the opposite. it's the only way we can prove that a/0 = infinity

[bonganimathebula]

One of the best videos...☝...a masterpiece👌

[Gold-vbkk]

Your proof for the second part is wrong, 1/0 is the multiplicative inverse of 0, and when inverses are multiplied you get 1, therefore, you can set 1/0 = A

[ItzTheMemeLord]

Let’s juts combine a 1 and a 0. What do you get? You get q.

[Jellogoster]

1 = 0 x infinity

That breaks the rule that
'anything times zero is zero'

[apollo]

I've always thought if infinity as never ending. However if we divide by 0, we have an answer
. Which is an incorrect answer: 1 = 0. So how is it infinity?

[prashantathmakoori]

But if you approach 0 from the negative side it will approach - infinity.
So 1/0 is undefined not infinity.
Please don't spread wrong knowledge

[rahuldatta]

Before watching this video I found out that 1/0 is infinity. The proof is
In 1/0, we can divide 1 by 1 in the numerator to get 1 and divide 1 by 0 in denominator to get infinity. So, 1/0= 1÷1/infinity = infinity ( since 1 multiplied by 1/infinity is zero).
Hence, proved.
This is my method.
Yours is also a legit proof. Good Job.