Is it wrong to tell children that 1/0 = NaN is incorrect, and should be ∞?
I remember that dividing by zero is frowned upon, because it is said that there is no real answer. With the concept of limits, going from the negative direction to zero would give $-\infty$, and going towards zero from the positive direction would give $+\infty$. This is partially the reason that $\frac x0 = $ undefined, even with using limits.
But could $\frac x0$ be equal to $\pm\infty$? I suspect this is not the case, so please explain why this is incorrect.