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Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product of 0 and anything is 0 0, and seems like it would be …

92 The other comments are correct: 1 0 1 0 is undefined. Similarly, the limit of 1 x 1 x as x x approaches 0 0 is also undefined. However, if you take the limit of 1 x 1 x as x x approaches …

Jan 22, 2017 · But if x = 0 x = 0 then xb x b is zero and so this argument doesn't tell you anything about what you should define x0 x 0 to be. A similar argument should convince you that when …

The exponent 0 0 provides 0 0 power (i.e. gives no power of transformation), so 30 3 0 gives no power of transformation to the number 1 1, so 30 = 1 3 0 = 1. Once you have the intuitive …

Dec 22, 2019 · When it comes to x x being a real number (or more generally, an element of a monoid in ⋅,,) defining xn x n is very straightforward if n n is a natural number (or 0, 0, but in …

Is there a consensus in the mathematical community, or some accepted authority, to determine whether zero should be classified as a natural number? It seems as though formerly $0$ was …

Jan 12, 2015 · 0i = 0 0 i = 0 is a good choice, and maybe the only choice that makes concrete sense, since it follows the convention 0x = 0 0 x = 0. On the other hand, 0−1 = 0 0 1 = 0 is …

Feb 8, 2014 · In the set of real numbers, there is no negative zero. However, can you please verify if and why this is so? Is zero inherently "neutral"?

10 Several years ago I was bored and so for amusement I wrote out a proof that 0 0 0 0 does not equal 1 1. I began by assuming that 0 0 0 0 does equal 1 1 and then was eventually able to …

Nov 8, 2013 · That 0 0 is a multiple of any number by 0 0 is already a flawless, perfectly satisfactory answer to why we do not define 0/0 0 / 0 to be anything, so this question (which is …