lim(n→∞)3n^2/n^2-3=3如何证

lim (n!+(n-1)!+(n-2)!+(N-3)!+⋯..+2!+1)/n!其中n→∞ 求lim n→∞ (1+2/n)^n+3 lim(n→∞)[1-(2n/n+3)] lim(n→∞)(2n-1/n+3) 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→∞ n^(3/2)* (n+1)^(1/2)* (1-cos(π/n))=? n→∞ lim(n+3/n+1)^2n= lim（n→∞）(3n^3-2n+1)/n^3+n^2 快 lim(n→∞)[1/(3n+1)+1/(3n+2)+~1/(3n+n)] 求极限lim [ 2^(n+1)+3^(n+1)]/2^n+3^n (n→∞) lim(n→∞) (3^n-4^n)/(3^n+2×4^n),请计算, 求极限lim(x→∞)（1/n+2/n+3/n..+n/n） 计算lim(n→∞)(1^n+2^n+3^n)^(1/n) lim n →∞ (1^n+3^n+2^n)^1/n,求数列极限 ε-N定义证明 lim(n→∞)(3n^2+n)/(2n^2-1)=3/2, 高数题:lim(n→∞)(1+2∧n+3∧n+4∧n)∧ 1/n=? lim根号n^2+n+1/3n-2=? lim(3^2n+5^n)/(1+9^n)=?