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Because zero multiplied by any number is always zero, but anything multiplied by infinity is infinity. Zero times infinity is being pulled both ways. Also, the definition of infinity is any number x divided by 0. When you multiply zero by infinity, the zeroes "cancel out", leaving absolutely nothing behind.

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Q: Why is zero times infinity undefined?
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What is 5 times 5 divided by 5 times 0?

5 times 5 divided by 5 times 0 equals infinity or undefined. Division by zero is undefined


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