How much will 0/0 be?

Question

Mathematics

There are two, let's say, facts:
- x / x \u003d 1
- you cannot divide by 0
How much will 0/0 be?

Answer 1

Uncertainty.
www.cleverstudents.ru/types_of_uncertainties.html

Answer 2

Lim n / n, with n - tends to 0 = 1. In other words, 0 / 0 = 1.
Lim n^2 / n, with n - tends to 0 = 0. In other words, 0 / 0 = 0.
Lim n / n ^2, for n tends to 0 = ∞. In other words, 0 / 0 = ∞.
In short, 0 / 0 = whatever.

Answer 3

Mathematically not defined.
The point is that x/x=1 since x = x * 1
But since <any number> * 0 = 0, there is uncertainty.

Answer 4

the phrase “you can’t divide by 0” looks funny. It is ridiculous that this convention (and a number of others) is introduced in the lower grades, so as not to stuff the children's heads with too much and to concentrate on a narrow direction. Then, in the same school, this convention is removed when it comes to learning the limits.
But since in the lower grades the students had more zeal for learning and they listened more attentively, they retain the conditional limitation, but no new knowledge about the limits. And now a person comes out of an educational institution with false knowledge. Sadly.

Answer 5

in mathematics, everything is simple - you just need to set the correct condition, and not half of it
x / x \u003d 1 for x ≠ 0. You omitted the second part, and based on this omission, you came up with a problem.

Answer 6

the first fact needs to be clarified: x / x \u003d 1 for x! \u003d 0

Answer 7

Got it, thanks :)

Answer 8

There was an unsuccessful experiment in teaching children from elementary grades according to Bourbaki.
[irony]
By the way, physicists haven't gone far either - Ohm's law, it turns out, doesn't work :)
So give me a special. theory of relativity from kindergarten! And then “mom will come in half an hour” - this is a windbag.
[/irony]

Answer 9

one

Answer 10

I know it's late, but still.
You can define the answer as x, then -
0/0=x
After expressing x, this is what comes out -
0x=0 x
in this case is a real number and can be anything.