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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.
10 sty 2018 · What does it mean to divide by zero? I started by clarifying Iain’s model, starting with a non-zero example: You don't seem to be thinking closely about what it MEANS to divide by zero. Let's watch what happens when we try to divide those apples. First, let's divide the 10 apples into piles of 2, so we can give 2 to each of our friends.
Technically it doesn't. If you take some fixed number (say, 5) and divide it by a very very small number, the result is a very very large number. Using a "limit" from calculus, we can say that. lim 5/x = ∞. x→0⁺. but this doesn't mean that 5/0 is ∞.
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.
11 wrz 2015 · $\frac{0}{\infty}$ is not an indeterminate form. On the contrary, those limits tell you that the limit of the entire quotient is $0$.
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.
