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The reciprocal function y = 1 x. 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 · Division is defined by solving an equation that can be easily solved for all pairs x, y of numbers where y ≠ 0. You can give arguments why it is reasonable not to define division by zero, but the fact is that it is not defined. We could easily define division by zero: We could just say that x / y := x whenever y = 0.
4 lis 2023 · It’s a shorthand for the idea that limit of a/x = 0 is infinity as x goes to 0 (provided that a, x > 0). The idea that limit equals to infinity is again, a bit of a convenient shorthand. Infinity is not a real number and thus you cannot assert its equality to something else.
10 sty 2018 · 10 divided by 0 means I am not dividing it, there is 0 division, the number is not being divided. 10 divided by 0 = 10. If you add 0 to any number you have the same original number. If you subtract 0 from any number you have the same original number.
6 gru 2021 · The argument follows that as the number approaches zero, the result approaches infinity. Therefore, we should approximate the result for 1/0 as infinity.
Division by 0 is often represented by infinity (symbol: ). Infinity is not actually a number per se, even if it is often used like that. It represents an idea that something has no end. It goes on forever. Consider an example.
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.
