lim[根号（2x-1)-1)/(x^2-5x+4)]=?x趋向于1

Question

lim[根号（2x-1)-1)/(x^2-5x+4)]=?
x趋向于1

Answer 1

运用洛必达法则上下求导得
lim(x→1）[√（2x-1)-1)/(x^2-5x+4)]
＝lim(x→1）1/[√（2x-1)*(2x-5)]
=-1/3