简单计算一下即可,答案如图所示
x->0e^x = 1+ x +(1/2)x^2 +(1/6)x^3 +o(x^3)e^x+ax^2+bx = 1 + (1+b)x + (1/2+a)x^2 +(1/6)x^3 +o(x^3)lim(x->0) (e^x+ax^2+bx)^(1/x^2) =1=>1+b=0 and 1/2+a =0b=-1 and a=-1/2