求lim n→∞ (1+2/n)^n+3

求lim n→∞ (1+2/n)^n+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→∞)(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)? 求当n→∞,Lim(1+2+3+4+……+(n-1)+n)/n lim(n→∞) 1/(n+1)-2/(n+1)+3/(n+1)-4/(n+1)+...+[(2n-1)/(n+1)]-[(2n)/(n-1)]求极限 lim (n!+(n-1)!+(n-2)!+(N-3)!+⋯..+2!+1)/n!其中n→∞ 用夹逼定理求lim(n→∞)[√(n^2+n)-n]^(1/n) 求极限lim(n→∞)(1/n²+2/n²+...+n/n²) 用夹逼定理求lim(n→∞)√[(n^2+n)-n]^(1/n) 求lim n→+∞(1/n^k+2/n^k+ +n/n^k)有三种情况, lim(n→∞)[1-(2n/n+3)] lim(n→∞)(2n-1/n+3) 求极限：lim(n→∞) 3n^2+2n+1/-3n^2+2n 求lim(n→∞)时[5^n-4^(n-1)]/5^(n+1)+3^(n+2)