lim(n→∞)[1/3-1/9+1/27-.(-1)^n+1乘1/3^n]

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→∞ 计算下列极限：1）lim(n→∞) 1/n3 2）lim(n→∞)4n+1/3n-11）lim(n→∞) 1/n3 2）lim(n→∞)4n+1/3n-13) lim(n→∞) (1/3)n4)lim(n→∞)n3+2n-5/5n3-n 5) lim(n→∞)(1+1/2n)n 6) lim(n→∞)2x3-x2+1/3x2+2x-9 7) lim(x→0 )sin3x/sin7x8) lim(n→∞)[1/(3n+1)+1/(3n+2)+~1/(3n+n)] 求极限lim [ 2^(n+1)+3^(n+1)]/2^n+3^n (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 lim（n→∞）(3n^3-2n+1)/n^3+n^2 快 求极限lim(x→∞)（1/n+2/n+3/n..+n/n） lim(n->∞) n+1/n^2 - 9 lim(3^2n+5^n)/(1+9^n)=? 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→∞ n^(3/2)* (n+1)^(1/2)* (1-cos(π/n))=? 求极限lim(-2)^n+3^n/(-2)^[n+1]+3^[n+1] (x→∞) 求lim(n→∞)(3n^3+2n^2+1)/(2n^2+3) 大学微积分的题目 lim(x→∞)(1^n+2^n+3^n)^1/n