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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 · 10 divided by 0 = 10 (because you haven’t actually divided it by anything, so “10” remains the same ie “0” means nothing). In this suggestion the multiplication ‘proof’ holds true for the division too.
Infinity divided by anything that is finite and non- zero is infinity. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
Division by zero. 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.
Dividing by a really small number makes a really big negative number, so dividing by zero should make negative infinity. 2/0 = ∞ and 2/0 = -∞ can't both be true, so we say 2/0 is undefined instead. There's no definite answer to that equation.
6 gru 2021 · For example, when we do the operation 1/(-0.0000000000000001), the result is -10,000,000,000,000,000. And as we approach zero from the negative side, the result approaches negative infinity.
This resolves your problem because it shows that $\frac{1}{\epsilon}$ will be positive infinity or infinite infinity depending on the sign of the original infinitesimal, while division by zero is still undefined.
