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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".
10 sty 2018 · To put all of this into mathematical terms, dividing by 2 means finding a number (5) by which we can multiply 2 to get 10: 10 / 2 = 5 because 10 = 2 * 5 If we could divide 10 by 0 (I'll call the answer X), we would be saying that: 10 / 0 = X because 10 = 0 * X But zero times anything is 0, so I will never find an X for which this is true.
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.
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.
"Infinity" does not exist in the real numbers. $0$ is not in the domain of the function $f(x) = \frac{1}{x}$. There is good reason why it is not defined: the function $f(x) = \frac{1}{x}$ is usually taken to mean "give me the multiplicative inverse of $x$", but $0$ lacks a multiplicative inverse.
The limit of say 2/x as x approaches zero from a higher number(ex. 1) goes to infinity. The limit of say 2/x as x approaches zero from a lower number(ex. -1) goes to negative infinity.
