求下列极限 lim(n+1/n+2) lim(n∧2-1/2n∧2+1)
问题描述:
求下列极限 lim(n+1/n+2) lim(n∧2-1/2n∧2+1)
答
n趋向什么呢?假设是无限吧lim[n→∞] (n+1)/(n+2)=lim[n→∞] (1+1/n)/(1+2/n)=(1+0)/(1+0)=1lim[n→∞] (n²-1)/(2n²+1)=lim[n→∞] (1-1/n²)/(2+1/n²)=(1-0)/(2+0)=1/2