44 求极限lim_(ntoinfty)(1+2+...+n)/(n^2).44 求极限$\lim_{n\to\infty}\frac{1+2+\cdots+n
求极限lim_(ntoinfty)((n)/(1^2)+sqrt(1)+n^(2)+(n)/(2^2)+sqrt(2)+n^(2)+...+(n)/(n^2)+
求极限lim _(narrow infty )sqrt [n](1+{a)^n+(a)^2n}(agt 0)求极限
求极限lim_(ntoinfty)(sqrt[n]((1^2+n^2)(2^2+n^2)...(n^2+n^2)))/(1+2+...+n).求极限$\lim_
40.求极限lim_(ntoinfty)((n+1)/(1^2)+n^(2)+(n+frac(1)/(2))(2^2+n^2)+...+(n+frac(1)/(
【例】求极限lim_(ntoinfty)((1)/(n+1)+(1)/(n+sqrt(2))+...+(1)/(n+sqrt(n)))。【例】求极限$\lim_
求极限lim_(ntoinfty)(sqrt[n]((n+1)(n+2)...(n+n)))/(n).求极限$\lim_{n\to\infty}\frac{\s
lim_(ntoinfty)((1)/(sqrt(n^2)+1)+(1)/(sqrt(n^2)+2)+...+(1)/(sqrt(n^2)+n))=_.$\li
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
类似地,可求下列极限(1)lim_(ntoinfty)((1)/(n+ln1)+(1)/(n+ln2)+...+(1)/(n+ln n));(2)lim_(nt