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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".
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.
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.
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.
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.
Dividing by Zero is undefined. To see why, let us look at what is meant by "division": Division is splitting into equal parts or groups. It is the result of "fair sharing". Example: there are 12 chocolates, and 3 friends want to share them, how do they divide the chocolates? So they get 4 each: 12/3 = 4. Dividing by Zero.
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.
