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factorial - Why does 0! = 1? - Mathematics Stack Exchange
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 …
complex analysis - What is $0^ {i}$? - Mathematics Stack Exchange
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 …
Is $0$ a natural number? - Mathematics Stack Exchange
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 …
I have learned that 1/0 is infinity, why isn't it minus infinity?
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 …
Why Not Define $0/0$ To Be $0$? - Mathematics Stack Exchange
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 …
Seeking elegant proof why 0 divided by 0 does not equal 1
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 …
definition - Why is $x^0 = 1$ except when $x = 0$? - Mathematics …
Jan 22, 2017 · For example, 0x = 0 0 x = 0 and x0 = 1 x 0 = 1 for all positive x x, and 00 0 0 can't be consistent with both of these. Another way to see that 00 0 0 can't have a reasonable …
Justifying why 0/0 is indeterminate and 1/0 is undefined
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 …
How do I explain 2 to the power of zero equals 1 to a child
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 …
algebra precalculus - Zero to the zero power – is $0^0=1 ...
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 …
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