求(1+2^n+3^n)^1/n,x→∞的极限值

求极限lim(x→∞)（1/n+2/n+3/n..+n/n） 求极限lim(-2)^n+3^n/(-2)^[n+1]+3^[n+1] (x→∞) 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lim n→∞ (1+2/n)^n+3 lim(n→∞) 1/(n+1)-2/(n+1)+3/(n+1)-4/(n+1)+...+[(2n-1)/(n+1)]-[(2n)/(n-1)]求极限 求极限 x→∞lim(3^n+1)/(3^(n+1)+2^n)= 求(1+2^n+3^n)^1/n,x→∞的极限值 1.7求极限lim(x→∞) [(n+1)(n+2)(n+3)]/5 n^31.7求极限lim(x→∞) [(n+1)(n+2)(n+3)]/5 n^3 lim (n!+(n-1)!+(n-2)!+(N-3)!+⋯..+2!+1)/n!其中n→∞ 大学微积分的题目 lim(x→∞)(1^n+2^n+3^n)^1/n 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/(n+1)+1/(n+2)+.+1/(n+n) 求极限(1/(n+1)+1/(n+2)+.+1/(n+n) 求lim(n→∞)(3n^3+2n^2+1)/(2n^2+3) 求当n→∞,Lim(1+2+3+4+……+(n-1)+n)/n 求极限lim(n→∞)(3n^2-n+1)/(2+n^2)? 微积分：关于当（x→∞）,(1+1/n)^n的极限的例题中,设x(n)=(1+1/n)^n,(n=1,2,…）,证明数列{x(n）}是单调増加且有界,由牛顿二项公式 有x(n)=(1+1/n)^n=1+n/1!*1/n+[n(n-1)]/2!*(1/n)^2+[n(n-1)(n-2)]/3!*(1/n)^3+…+{n(n-1) 已知 x ^3n-2 ÷x^ n+1 =x^3-n×x^n+2,求n的值