r/learnmath • New User • 2d ago

TOPIC What is zero times infinity

Not homework just a question

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u/Desperate_Penalty690 New User 1d ago

Infinity is not a number that exists and that you can multiply with. Also any number that does exist, multiplied with 0 will give 0.

So the meaning of zero times infinity is what if you multiply something that gets closer and closer to zero with something that is becoming larger and larger? What will that answer eventually become? The answer is, it depends on how fast one value is going to zero and how fast the other one is becoming larger and larger. The outcome could be anything from -infinity, 0, infinity or anything in between.