lim(n->∞)2^nsin(x/2^n)设 t=1/2^n,t->0lim(t->0) sin(xt)/t=lim(t->0) xsin(xt)/xt=x*1=x
lim(n→∞)2∧nsin(x/2∧n)=lim(n→∞)xsin(x/2∧n)/(x/2∧n)=x