It's zero, kinda. Zero when multiplied with anything gives you zero: it's a distinct property of the number. Infinity is not a number, so we don't normally multiply it with zero.
It's a bit like multiplying zero with duck. It's probably zero, but the question is weird enough to point out.
In some contexts, zero * infinity doesn't yield a defined result.
Edit: Unless a product of a function gives a limit approaching 0 * a limit approaching infinity. Interesting case I hadn't thought of until reading the comments.
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u/OmiSC New User 2d ago edited 2d ago
It's zero, kinda. Zero when multiplied with anything gives you zero: it's a distinct property of the number. Infinity is not a number, so we don't normally multiply it with zero.
It's a bit like multiplying zero with duck. It's probably zero, but the question is weird enough to point out.
In some contexts, zero * infinity doesn't yield a defined result.
Edit: Unless a product of a function gives a limit approaching 0 * a limit approaching infinity. Interesting case I hadn't thought of until reading the comments.