1.The Question The function f(x)= x2/x if (x≠0) 0 if(x=0) 3. The attempt at a solution I thought this had a removable discontinuity at x=0, because the function s2/x is not defined at x=0, and the expression can be reduced to x. The book (one of those AP prep guides with solutions) says that it is continuous everywhere, to note that x2/x if x≠0 and lim(x->0) f = 0. Why was I wrong? Thanks in advance.