>If you learnt functions and limits, you would know that by dividing any polynomial by zero, you would get a vertical asymptote.
What the hell is it with people accusing me of not having learned math?
>>16
My statement was hardly meant to be any sort of proof, but yes, you can use linear functions to prove this statement because division is defined in terms of multiplication.
>>13
Yes, it is. The very definition of division means the inverse of multiplication:
http://en.wikipedia.org/wiki/Division_%28mathematics%29
The reason 6/3=2 is because 2*3=6.
Division by zero has NOTHING to do with limits. For example the limit of x=0/a as a->0 is zero. Is zero the answer? Of course not. Limits tells you absolutely nothing about the actual value at a point; the entire purpose of limits is to evaluate how the function converges to that point, and division by zero has nothing to do with convergence.
For fuck sakes, Wikipedia even has an entire section on why limits make no sense for defining division by zero:
http://en.wikipedia.org/wiki/Division_by_zero#Limits_and_division_by_zero
So STOP trying to insult my education, because you clearly have no idea what you're talking about.