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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 …

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 …

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 …

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 …

Oct 28, 2019 · 0 0 = x 0 0 = x 0x = 0 0 x = 0 x x can be any value, therefore 0 0 0 0 can be any value, and is indeterminate. 1 0 = x 1 0 = x 0x = 1 0 x = 1 There is no such x x that satisfies the …

May 14, 2015 · 5 We have x0:= 1 x 0:= 1 for every complex number x x. (Notice that this is the only convention which fits into the rules of arithmetic, and there is no need to exclude x = 0 x = 0. …

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 …

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 …

As for the simplified versions of the above laws, the same can be said for 00 = 0 0 0 = 0, so this cannot be a justification for defining 00 = 1 0 0 = 1. 00 0 0 is ambiguous in the same way that …

Oct 9, 2013 · Is a constant raised to the power of infinity indeterminate? I am just curious. Say, for instance, is $0^\\infty$ indeterminate? Or is it only 1 raised to the infinity that is?