About 0/0

[RZ923]

There is a proof that \( \frac{0}{0}\) is indeterminate because:
If you divide 0 by tiny positive numbers approaching 0, the answers approach \(+♾\).
And If you divide 0 by big negative numbers approaching 0, the answers approach \(-♾\).
Then \( \frac {0}{0}\) is indeterminate because it can’t be \(+♾\) and \(-♾\) at the same time.
Assuming this is true, why can’t \( \frac{0}{0}\) be \(+-♾\)?

[Potato2017]

What would +-♾ mean anyway?

[nastya]

Hi @RZ923!
Well, that's a nice question and is a very deep concept. You can read about it here.