例2.11 求下列极限:-|||-(4)lim _(narrow infty )(sqrt ({n)^2+n}-sqrt ({n)^2-n})

3.计算下列极限:-|||-(6) lim _(narrow infty )(sqrt ({n)^2+n}-sqrt ({n)^2-n});

[题目]求极限: lim _(narrow infty )(sqrt ({n)^2+n}-n).

lim _(narrow infty )(sqrt ({n)^2+n}-n)=____________

求极限__-|||-lim _(narrow infty )dfrac (n)(ln n)(sqrt [n](n)-1).求极限.

求极限 lim _(n arrow infty) (sqrt(n^2)+a^(2))/(n)=________.求极限 $\lim _{n \rightarro

求极限lim _(narrow infty )sqrt [n](1+{a)^n+(a)^2n}(agt 0)求极限

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_

注 类似地，求极限lim_(ntoinfty)sqrt[n](((1^2+n^2)(2^2+n^2)...(n^2+n^2))/(1+2+...+n))注 类似

用极限的定义证明lim _(narrow infty )dfrac (sqrt {{n)^2+(a)^2}}(n)=1用极限的定义证明

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