求极限:lim(x趋于)(e∧x-x)∧(1/x∧2)
问题描述:
求极限:lim(x趋于)(e∧x-x)∧(1/x∧2)
答
L=lim(x->0)(e^x-x)^(1/x^2)lnL =lim(x->0)ln(e^x-x)/x^2(0/0)=lim(x->0)[(e^x -1)/(e^x-x)]/(2x)=lim(x->0) (e^x -1)/[2x(e^x-x)](0/0)=lim(x->0...