0 Divided By 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
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 I m told by smart people that 0 999999999 ldots 1 and I believe them but is there a proof that explains why this is
0 Divided By
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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 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 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 What about if we take only a finite number of terms Is there a simpler formula n 0N xn n 0 N x n Is there a name for such a sequence This is being repurposed in an effort to cut down
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On the other hand 0 1 0 0 1 0 is clearly false well almost see the discussion on goblin s answer and 00 0 0 0 0 is questionable so this convention could be 43 What is the length of a sine wave from 0 to 2 Physically I would plot y sin x 0 x 2 and measure line length I think part of the answer is to integrate this 2 0
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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
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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
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