用夹逼准则求lim(1⼀n^2+1⼀(n^2+1)+...+1⼀(2n)^2),n趋向于无穷大

求大神~谢谢啦
2024-11-01 12:40:18
推荐回答(1个)
回答1:

1/(4n)=n/(2n)^2<1/n^2+1/(n^2+1)+...+1/(2n)^2
因为lim(1/(4n))=lim(1/n)=0
所以
原极限=lim(1/n^2+1/(n^2+1)+...+1/(2n)^2)=0