Miss Dada  🏳️‍⚧️

0 * x = 0, Infinity * x = Infinity -- who wins? NaN it.

x already has additional bounds in the infinity case though. Could just as easily be Infinity * x = Infinity when finite, nonzero

This is the general pattern of indeterminate forms; two "rules" apply, so we throw up our hands in disgust: https://en.wikipedia.org/wiki/NaN#Operations_generating_NaN …

Fair enough. I guess I assumed that the math backed up the 0 case, but it appears not to

the fact that Infinite is a "value" and that 1/0 produces it is already a fairly disgusting abuse, depending on who you ask.

1/0 == Infinity made sense to fifth grade me, though, so I stand by it

It's not actually an indeterminate form, fwiw. x-> 1 / y -> 0 does diverge to infinity reliably iirc. That's just like, not a number.

wolfram alpha, ever the smartass about complex numbers, declares 1/0 to be "complex infinity"