应用洛必达法则原式 = lim (sqrt(1+x) - sqrt(1-x))/ (arctanx +x/(1+x^2)) (sqrt为根号) =(1/2sqrt(1+x) + 1/2sqrt(1-x))/(1/(1+x^2) +(1-x^2)/(1+x^2)^2) (再次应用洛必达法则) = 1/2