求极限(给出过程)lim(x趋于+∞)x[(√x^2+1) -x]= ()

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/13 14:22:02

求极限(给出过程)lim(x趋于+∞)x[(√x^2+1) -x]= ()
求极限(给出过程)
lim(x趋于+∞)x[(√x^2+1) -x]= ()

求极限(给出过程)lim(x趋于+∞)x[(√x^2+1) -x]= ()
lim(x趋于+∞)x[(√x^2+1) -x] =lim(x趋于+∞)x[(√x^2+1) -x]*[(√x^2+1) +x] /[(√x^2+1) +x] =lim(x趋于+∞)x/[(√x^2+1) +x] =lim(x趋于+∞)1/[√(1+x^-2) +1] =1/(1+1) =1/2