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While writing $\frac{1}{0}$ is much more convenient than writing that expression, it has the downside that many people take it to mean literary $1$ divided by $0$. Sometimes in calculus $\frac{1}{0}$ is $+\infty$, sometimes it is $-\infty$ and sometimes it doesn't exists.
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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.
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.
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.
So when we divide 1 (or any number) by 0, it implies that 1/0 = x i.e. 1 = 0*x , which we know is not possible as anything multiplied by 0 gives you 0. Therefore we say it is undefined and not infinity.
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.
1. Here, we show you a step-by-step solved example of operations with infinity. This solution was automatically generated by our smart calculator: $2^ {\infty}$. 2. Apply a property of infinity: $k^ {\infty}=\infty$ if $k>1$. In this case $k$ has the value $2$. $\infty $.
