题, 求lim(x→∞)（2n/2n+1）^2n=? 需要解题公式.

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lim n→∞ (1+2/n)^n+3 求极限 x→∞lim(3^n+1)/(3^(n+1)+2^n)= 求极限Lim（(n-x)/(n+2))^(n+1) 求极限lim(x→+∞) (x^n/e^x).下面是解题过程：由题可知,当x→+∞时,此极限为∞/∞型,由洛必达法则,得 lim(x→ +∞ )(x^n/e^x)=lim(x→+∞)[nx^(n-1)/e^x)=lim(x→+∞)[n(n-1)x^(n-2)/e^x]=lim(x→+∞)[n(n-2)x^(n-3)/e^x 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 求极限：lim(x→无穷)(2^n-7^n)/(2^n+7^n-1)=? 题, 求lim(x→∞)（2n/2n+1）^2n=? 需要解题公式. lim x→n (√n+1-√n)*√(n+1/2)lim x n→∞ (√n+1-√n)*√(n+1/2) 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 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, 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→∞) (cos x/n)^n^2