A point P(x,y)P(x, y)P(x,y) moves on the curve y=xy = \sqrt{x}y=x. A line segment L(x)L(x)L(x) connects (0,0)(0,0)(0,0) to (x,x)(x, \sqrt{x})(x,x). Find limx→0+L(x)2x\lim_{x \to 0^+} \frac{L(x)^2}{x}limx→0+xL(x)2.
∞\infty∞
111
000
1/21/21/2