原式=lim(n→∞)x/2*[sin(x/2^n)/(x/2^n)]=x/2*lim (n→∞) [sin(x/2^n)/(x/2^n)]因为x→0时,sinx~x所以 :sin(x/2^n)~s(x/2^n)则limx/2*lim (n→∞) [sin(x/2^n)/(x/2^n)]=limx/2*lim (n→∞) (x/2^n)/(x/2^n)=x/2