1/2 = 0.5
1/0.0002 = 5000
1/0.00000000002 = 50000000000
etc
It's obvious what's happening here; as the divisor becomes smaller and approaches zero, the answer grows larger and approaches infinity. Why isn't the answer to x/0 defined as infinity and the answer to 0/0 defined as zero?
nice bait
Try approaching from the other side of 0 and you'll get -infinity. Also try taking calc 1, that should clear this up.
>>8089770
When the numerator becomes small and approaches zero and the denominator does the same, the division can be anything, depending on how fast the numerator goes to zero relative to the denominator. It could be 0 or 7 or infinity or not converge.
>>8089774
Negative doesn't mean anything for infinity because infinity is not a number.
>>8089770
Ask yourself, "what is division?", and you should answer "the inverse of multiplication".
So, when you multiply two non-zero numbers a and b together, you get ab. You can recover b by dividing ab by a, that is multiplying by a inverse, which we sometimes write as ab/a=b.
Now, multiply 0 by any number b, you get 0*b=0. When you try to invert this equation to recover b, that is evaluate 0*b/0, you find that there is no unique solution. In fact, every number in a sense is a solution. Because we can't assign a single number to division by zero, it can't be considered a function, and thus we say it is undefined.
>>8089785
It... absolutely does. It shows direction. That's all positive / negative show.
>>8089785
Then why are you arguing x/0 should be defined as infinity?
infinite zeroes is still zero
it'll approach infinity but the answer is not actually infinity
the answer is "impossible"
>>8089770
because x/0=x/(-0)=-x/0. then infinity=-infinity.