2.lim_(ntoinfty)(sqrt(1+2+3+...+n))/(n+2)=( )

3.lim_(ntoinfty)sqrt[n](2+(-1)^n+2^n)=_.3.$\lim_{n\to\infty}\sqrt[n]{2+(-1)^{n}+

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

2.lim_(n to infty)(sqrt(n+1)-sqrt(n))sqrt(n+1)=_____.2.$\lim_{n \to \infty}(\sqr

求极限lim_(ntoinfty)((n)/(1^2)+sqrt(1)+n^(2)+(n)/(2^2)+sqrt(2)+n^(2)+...+(n)/(n^2)+

12.证明lim_(ntoinfty)((1)/(sqrt(n^2)+1)+(1)/(sqrt(n^2)+2)+...+(1)/(sqrt(n^2)+n))=1

【例43】lim_(ntoinfty)((1)/(n+1)+(1)/(n+2)+...+(1)/(n+n))=____【例43】$\lim_{n\to\inft

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_

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.

【例】求极限lim_(ntoinfty)((1)/(n+1)+(1)/(n+sqrt(2))+...+(1)/(n+sqrt(n)))。【例】求极限$\lim_