求极限 $\lim _{n \rightarrow \infty} \frac{\sqrt{n^{2}+a^{2}}}{n}=\_\_\_\_\_\_\_\_$.
[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})
求极限lim _(narrow infty )sqrt [n](1+{a)^n+(a)^2n}(agt 0)求极限
求极限__-|||-lim _(narrow infty )dfrac (n)(ln n)(sqrt [n](n)-1).求极限.
求极限lim_(ntoinfty)((n)/(1^2)+sqrt(1)+n^(2)+(n)/(2^2)+sqrt(2)+n^(2)+...+(n)/(n^2)+
3.计算下列极限:-|||-(6) lim _(narrow infty )(sqrt ({n)^2+n}-sqrt ({n)^2-n});
lim _(narrow infty )(sqrt ({n)^2+n}-n)=____________
lim _(arrow infty )dfrac ({3)^n+(2)^n}({2)^n-(3)^n}=_________。_________。
2.lim_(n to infty)(sqrt(n+1)-sqrt(n))sqrt(n+1)=_____.2.$\lim_{n \to \infty}(\sqr
lim _(n arrow infty) n((1)/(1+n^2)+(1)/(2^2)+n^(2)+...+(1)/(n^2)+n^(2))= _____.$