lim(n->∞) 1^2+2^2+3^2+...+n^2/n^3

求lim n→∞ (1+2/n)^n+3 lim(n→∞)[1-(2n/n+3)] lim(n→∞)(2n-1/n+3) lim (n!+(n-1)!+(n-2)!+(N-3)!+⋯..+2!+1)/n!其中n→∞ lim(n+3)(4-n)/(n-1)(3-2n) lim(n^3+n)/(n^4-3n^2+1) lim[(n+3)/(n+1))]^(n-2) 【n无穷大】 lim(2^n+3^n)^1 (n趋向无穷) 求极限lim [ 2^(n+1)+3^(n+1)]/2^n+3^n (n→∞) lim（n→∞）(3n^3-2n+1)/n^3+n^2 快 lim(n→∞)[1/(3n+1)+1/(3n+2)+~1/(3n+n)] 一道极限题,lim[n^2(2n+1)]/(n^3+n+4)n->∞ 计算lim(n→∞)(1^n+2^n+3^n)^(1/n) lim n →∞ (1^n+3^n+2^n)^1/n,求数列极限 求极限lim(x→∞)（1/n+2/n+3/n..+n/n） 求1.lim(3n-(3n^2+2n)/(n-1)) 2.lim(8+1/(n+1)) 3.lim根号n(根号(n+1)-根号(n-3)) 用数列极限证明lim(n→∞)(n^-2)/(n^+n+1)=1中证明如下:lim(n→∞)3n+1/5n-4 lim n->∞{2/((1+ 1/n )^n)}=?