求lim(n→∞)[(1^3+4^3+7^3+……+(3n-2)^3]/{[1+4+7+……+(3n-2)]^2}

求lim n→∞ (1+2/n)^n+3 求当n→∞,Lim(1+2+3+4+……+(n-1)+n)/n 求极限：lim(n→+∞) 3n+1/4n+3 求极限lim [ 2^(n+1)+3^(n+1)]/2^n+3^n (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lim(n→∞)时[5^n-4^(n-1)]/5^(n+1)+3^(n+2) lim(n→∞) 1/(n+1)-2/(n+1)+3/(n+1)-4/(n+1)+...+[(2n-1)/(n+1)]-[(2n)/(n-1)]求极限 求lim(n→∞)(3n^3+2n^2+1)/(2n^2+3) 求极限lim(-2)^n+3^n/(-2)^[n+1]+3^[n+1] (x→∞) 求极限lim(n→∞)(3n^2-n+1)/(2+n^2)? lim (n→∞) (n^2/(an+b)-n^3/(2n^2-1))=1/4 求a,b 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) 求极限 x→∞lim(3^n+1)/(3^(n+1)+2^n)= 求lim(1+3^n)^(1/n)的值 n→∞ 求极限lim[n→∞](n^2+1)/(2n^2+3) 1.对于数列{an},已知lim n→∞ n*an=5,求lim n→∞(3n+7)an的值2.已知a≠0,计算lim n→∞[(a+a^3+a^5++a^(2n+1)）/(a^2+a^4+a^6++a^2n)] 1.6求极限lim(x→∞) [1+2+3+......+(n-1)]/ n^21.6求极限lim(x→∞) [1+2+3+......+(n-1)]/ n^2