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Background Pony #1995
Technically, by logic, dividing a number is infinity, since the lower the divisor, the higher the quotient. 0/0 is zero, because it’s zero of infinity.
Background Human
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CHS, Class of 20XX
@Midnight Moon  
Problem is, it depends on what direction you approach zero from. If you start with a positive number and go down to zero, you get positive infinity. But if you start with a negative number and go up to zero, you get negative infinity. And with 0/0, all bets are off. You can make a case for any number. As the limit of 3x/x, for example, it’s 3.
Midnight Moon
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Who Was This Guy Again?
Ladies and gentlemen, the answer to this is actually rather simple. Just look at how division works from this angle: The lower the number you divide by, the higher the number you will get. Therefor, anything divided by zero will equal infinity.