从lim(n→∞) (1/n)[1/(3 + 1/n) + 1/(3 + 2/n) + ...+ 1/(3 + n/n)] 怎么变为∫(0→1) dx/(3 + x)

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→∞)[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） 从lim(n→∞) (1/n)[1/(3 + 1/n) + 1/(3 + 2/n) + ...+ 1/(3 + n/n)] 怎么变为∫(0→1) dx/(3 + x) 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 利用定积分定义求lim(n→∞)(1/n*[(2n-i)/n]^1/3) i从1到n lim[n→∞] (x^n+1)^(1/n) 求 lim (n→+∞) n^( 1/n)的极限 lim(arctan n)^1/n (n→∞)求极值 lim（1/n）sin n （n→∞） lim n→∞ n^(3/2)* (n+1)^(1/2)* (1-cos(π/n))=?