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As x approaches zero from the right, y tends to positive infinity. As x approaches zero from the left, y tends to negative infinity. In mathematics, division by zero, division where the divisor (denominator) is zero, is a unique and problematic special case.
2 gru 2020 · We could easily define division by zero: We could just say that x / y := x whenever y = 0. It's just that many mathematical theorems that specify "... if division is defined" would need to be changed to "... if the divisor is not zero".
I can see your point as dividing a number by x when x approaches zero often approaches infinity. However if the number is negative or if you approach zero from the negitive side then you end up with negative infinity. And if you divide zero with x then it limits to zero no matter what.
Infinity is not a number. When we divide one number by another we must get, again, a number; say, real numbers. Since infinity is not a number, it does not make sense to say 0/0 = infinity. Think of a/b to be the number c such that a=bc. Now you are proposing that c = infinity is a solution.
Generally the only reason one sees 1/0 as infinity is because some systems (incorrectly) output infinity when given dividing by zero. Why incorrectly? A limit tending to unsigned infinity can be well defined.
10 sty 2018 · If you divide a number by zero – it means you aren’t dividing it at all, since 0 means no quantifiable amount, so if you are not dividing something by a quantifiable amount (0) then you are not dividing it at all.
14 lis 2024 · Division by zero is the operation of taking the quotient of any number x and 0, i.e., x/0. The uniqueness of division breaks down when dividing by zero, since the product 0·y=0 is the same for any y, so y cannot be recovered by inverting the process of multiplication. 0 is the only number with this property and, as a result, division by zero ...
