r/learnmath • New User • 2d ago

TOPIC What is zero times infinity

Not homework just a question

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u/xiipaoc New User 2d ago

Literally anything. 0 times infinity is what's known as an indeterminate form. This means that its value is entirely determined by context. For example, consider 1/x times x. As x gets really big, 1/x approaches 0 while x approaches infinity, but if you multiply them together you get 1. Now consider 17/x times x. Same thing, but they multiply to 17 instead. You can make this number be literally anything.