lim n--∞ (1+2/n)^n=?如题

lim n->∞{2/((1+ 1/n )^n)}=? lim n--∞ (1+2/n)^n=?如题 lim(1-1/n)^(n^2)=? lim(1-1/n^2)^n=? 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) 大一微积分解答：lim(n→+∞)（2^n+4^n+6^n+8^n）^1/n=? lim(n→∞) (1/n)[sin(π/n)+sin(2π/n)+…+sin(nπ/n)]=? lim (n!+(n-1)!+(n-2)!+(N-3)!+⋯..+2!+1)/n!其中n→∞ 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→∞) （(2n!/n!*n)^1/n的极限用定积分求是lim（n→∞) 1/n(2n!/n!)^1/n 不好意思 lim n→∞ n^(3/2)* (n+1)^(1/2)* (1-cos(π/n))=? lim(n->∞)[2^(2n-1)+1]/(4^n-3^n)=? 极限lim(n->∞) n^(2/3)/[(n^2+n+7)^1/3]=1 lim(n→∞)(2n-1/2n+1)^n= 大一高数~ lim n→∞ n/√(2n+1)(n+1)= 证明lim(n→∞){n-根号下n^2-n}=1/2 lim(n→∞)(根号n+2-根号n)*根号n-1=? n→∞ lim(n+3/n+1)^2n=