NaN vs. Inf

Why is

1/0 = Inf

but

[1,0]./[1,0] = [1 NaN]

shouldn't it be [1 Inf]?

Answer 1

[Image Analyst]

1/0 is infinity, but 0/0 is not infinity nor is it zero - it's just undefined (NaN).

[Matt Tearle]

And if you want to know *why*, think in terms of limits. lim_{x->0} 1/x = infinity. But lim_{x->0} x^2/x = 0, lim_{x->0} x/x = 1, and lim_{x_>0} x/x^2 = infinity. So there's no way to determine what a "0/0" limit might be. Hence, it's undefined (NaN).

Similarly, Inf + Inf = Inf, but Inf - Inf = NaN.

Answer 2

[Jose Jeremias Caballero]

Hi.

[1,0]./[1,0]= [1/1,0/0]=[1,NaN]

[Jan]

The question is, why 0/0=NaN and not Inf.

Answer 3

[Jose Jeremias Caballero]

http://es.wikipedia.org/wiki/Divisi%C3%B3n_por_cero http://es.wikipedia.org/wiki/Forma_indeterminada