Why 0 ÷ 0 = 1

Trigonal: That would be how the typical calc text would represent it on a graph, yes. But what of it?

Yup…although it is comforting to note that l’Hopital’s rule of differentiating the numerator and denominator of the expression gives 1/1 and thus confirms what we already know about the limit of x/x as x->0.