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there is a pretty good episode on numberphile that explains why dividing by zero is undefined. Basically the reason why 1/0 = 0 is wrong is the fact that you c
by mortdeus 8y ago
there is a pretty good episode on numberphile that explains why dividing by zero is undefined.
Basically the reason why 1/0 = 0 is wrong is the fact that you cant reproduce 1 by taking the answer 0 and multiplying it by 0 to get the number being divided. Which goes on to break a bunch of other fundamental rules of mathematics.
That is to say, if you took 6 / 2 = 3 you can reverse the division by doing 3 * 2 = 6.
However if you have 6 / 0 = 0 and you were to try and reverse it then you would have 0 * 0 != 6. Then you have bizarre circumstance where everything decided by zero logically equals the same thing. Where (2 + 2) / 0 all of a sudden equals (Einsteins laws of gravity) / 0. And there is no logical way to really explain what that is supposed to mean.
Also if you try to use limits to find a solution of f(x) = 1/x where x is defined as the limit of 1 and -1 as it approaches 0 from both sides. You end up with the answer that is even more confusing when you try to graph it.
That is x = +inf and -inf. Which on a graph is represented as two curves where the limit as 1 -> 0 from the positive side of the x axis curves up along the y axis to infinity without intersecting where x=0. And from the negative side where we approach 0 from -1 we end up with a curve that moves down the -y axis without intersecting at 0.
So frankly, n / 0 = 0 just doesn't make sense because just trying to approach it from both sides suggests that the closer you try to move to zero from both sides the further apart the answer moves away from converging together at the origin. Which would be expected if n / 0 = 0 was actually true.