lim(x->无穷)n^2(1-cos(1/n))急求解析,
问题描述:
lim(x->无穷)n^2(1-cos(1/n))急求解析,
答
lim(x→∞)x²(1-cos(1/x))=lim(x→∞)(1-cos(1/x))/(1/x²)=lim(x→∞)(-sin(1/x)/x²)/(-2/x³)=lim(x→∞) sin(1/x)/( 2/x)=lim(x→∞) sin(1/x)/( 1/x)/2=lim(x...