求lim(n→∞)时[5^n-4^(n-1)]/5^(n+1)+3^(n+2)

求lim(n→∞)时[5^n-4^(n-1)]/5^(n+1)+3^(n+2) 求lim(n→∞) ln(n!)/ln(n^n) lim((5^n-4^(n-1))/((5^(n+1)+3^(n+2)) n→∞时的极限是多少? 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 求lim n→∞ (1+2/n)^n+3 求 lim (n→+∞) n^( 1/n)的极限 lim(arctan n)^1/n (n→∞)求极值 求极限 lim(n→∞) tan^n (π/4 + 2/n) lim(n→∞)tan^n(π/4+2/n) =lim(n→∞)[(tan(π/4)+tan(2/n))/(1-tan(π/4)tan(2/n))]^n =lim(n→∞)[(1+tan(2/n))/(1-tan(2/n))]^n =lim(n→∞)(1+tan(2/n))^n/(1-tan(2/n))^n (1) 因为 lim(n→∞)(1+tan(2/n) 求函数的极限：lim(1^n+2^n+3^n+4^n)^1/n,当n→∞时的极限.(不用夹逼准则解) 求函数的极限：lim(1^n+2^n+3^n+4^n)^1/n,当n→∞时的极限.(不用夹逼准则解) 跪求函数的极限：lim(1^n+2^n+3^n+4^n)^1/n,当n→∞时的极限.(不用夹逼准则解) 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 lim(n→∞)3n^2+5n-7/4-n^2的值是 求极限lim [ 2^(n+1)+3^(n+1)]/2^n+3^n (n→∞) 求极限lim(x→∞)（1/n+2/n+3/n..+n/n） 求极限lim(n→∞)(a^n+(-b)^n)/(a^n+1+(-b)^n+1) 用夹逼定理求lim(n→∞)[√(n^2+n)-n]^(1/n)