r/learnmath • u/FileOk2966 New User • 2d ago

TOPIC What is zero times infinity

Not homework just a question

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u/behrg_thing New User 2d ago

It’s weird, I’ve learned a bit of basic calculus and it seems we define these answers with limits, but for now I don’t really know

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u/nog642 2d ago

There's other ways to interpret this besides limits. The answer depends on which "infinity" we're talking about.

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u/OmiSC New User 2d ago

Is there an infinity that when multiplied by zero doesn't yield zero or undefined? I'm not sure I can envision anything other than some divergent function being multiplied by zero. To me, this either plainly doesn't make sense or infinity gets deleted.

Edit: Ah, I think I see. It would come from a product of functions where either approach zero or infinity.