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

例2.11 求下列极限:-|||-(4)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)=____________

(3) lim _(narrow infty )dfrac (sqrt {{n)^2-3n}}(2n+1)

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

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

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

[题目]计算 lim _(narrow infty )cos (sqrt (n+1)-sqrt (n))

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_

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