lim[n/(n^2+1^2)+n/(n2+2^2)+···n/(n^2+n^2)] n->无穷大

lim[n/(n^2+1^2)+n/(n2+2^2)+···n/(n^2+n^2)] n->无穷大 lim[(n+3)/(n+1))]^(n-2) 【n无穷大】 Lim n-无穷大 n/(n^2+1^2)+n/(n^2+2^2)+.n/(n^2+n^2) lim(n+1)^(1/2)-n^(1/2) ,n->无穷大 lim n->无穷大(2^n-1)/(3^n+1) lim[n/(n*n+1*1)+n/(n*n+2*2)+...+n/(n*n+n*n)],当x趋向无穷大时,怎么求极限, 求极限lim((n+1)/(n2+1)+(n+2)/(n2+2)+...+(n+n)/(n2+n)),n趋近无穷 请问如何证明lim(n→∞)[n/(n2+n)+n/(n2+2n)+…+n/(n2+nn)]=1, lim n趋于无穷大(1/n^2+3/n^2+.+2n-1/n^2 lim 9^n+4^n+2/5^n-3^2n-1 n趋于无穷大时 求极限 lim n[1/(n^2+1)+1/(n^2+2^2）+……+1/(n^n+n^n)] (n趋向于无穷大,n^n lim（n趋向无穷大） 2^n/n!如何算