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

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

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});

已知 lim _(narrow infty )(a)_(n)=2 lim _(narrow infty )(b)_(n)=3已知 lim _(narrow in

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

设(x)=lim _(narrow infty )dfrac ({x)^n+2}(sqrt {{2)^2n+(x)^2n}}，则(x)=lim _(narrow

→(a)→∞-|||-lim _(narrow infty )(x)_(n)=+infty lim _(narrow infty )(y)_(n)=infty

(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.

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