2.lim_(ntoinfty)(sqrt(1+2+3+...+n))/(n+2)=( )A. $\frac{1}{2}$B. $\frac{\sqrt{2
求极限lim_(ntoinfty)(sqrt[n]((n+1)(n+2)...(n+n)))/(n).求极限$\lim_{n\to\infty}\frac{\s
lim_(ntoinfty)((1)/(sqrt(n^2)+1)+(1)/(sqrt(n^2)+2)+...+(1)/(sqrt(n^2)+n))=_.$\li
求极限lim_(ntoinfty)((n)/(1^2)+sqrt(1)+n^(2)+(n)/(2^2)+sqrt(2)+n^(2)+...+(n)/(n^2)+
【例43】lim_(ntoinfty)((1)/(n+1)+(1)/(n+2)+...+(1)/(n+n))=____【例43】$\lim_{n\to\inft
12.证明lim_(ntoinfty)((1)/(sqrt(n^2)+1)+(1)/(sqrt(n^2)+2)+...+(1)/(sqrt(n^2)+n))=1
【例】求极限lim_(ntoinfty)((1)/(n+1)+(1)/(n+sqrt(2))+...+(1)/(n+sqrt(n)))。【例】求极限$\lim_
求极限lim_(ntoinfty)(sqrt[n]((1^2+n^2)(2^2+n^2)...(n^2+n^2)))/(1+2+...+n).求极限$\lim_
级数 sum _(n=1)^infty (sqrt (n+2)-2sqrt (n+1)+sqrt (n))= __ .
第一章 函数与极限(3)lim_(ntoinfty)(sqrt(n^2)+a^(2))/(n)=1; (4)lim_(ntoinfty)0.999...9=1.