因为f(x)二阶可导,且f(0)=0,f′(0)=1,f″(0)=2,所以由L’Hospital法则 lim x→0 f(x)?x x2 = lim x→0 f′(x)?1 2x = 1 2 lim x→0 f′(x)?f′(0) x = 1 2 f″(0)=1.所以 lim x→0 f(x)?x x2 =1.故答案为:1.