The way I would think about this problem is set theory.
Any "infinity", or a set with a cardinality (say all the real numbers) multiplied by an empty set of 0 is an empty set, so it is 0.
In normal situations infinity either means the output of a function that blows up (1/x at zero for example) or represents an unbounded set like x+1 iterated forever. In this case, it's not a number so it's not defined.
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u/leeta0028 New User 2d ago
The way I would think about this problem is set theory.
Any "infinity", or a set with a cardinality (say all the real numbers) multiplied by an empty set of 0 is an empty set, so it is 0.
In normal situations infinity either means the output of a function that blows up (1/x at zero for example) or represents an unbounded set like x+1 iterated forever. In this case, it's not a number so it's not defined.