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But 0/1 = 0. So 1/0 must be the inverse/opposite of zero.

And I think if you look at the Riemann sphere, the inverse of zero is the point where +infinity and -infinity meet. I would call that 0^(-1).



Actually this is what Mathematica does:

https://math.stackexchange.com/questions/1294852/why-does-wo...

Mathematica calls this point on the Riemann sphere "complex infinity".





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