lim(n^2-1)/(3n^2+n)=?n-->无穷大

lim根号n^2+n+1/3n-2=? lim(3^2n+5^n)/(1+9^n)=? lim[(4+7+...+3n+1)/(n^2-n)]= lim(1/n+2/n+3/n+4/n+5/n+……+n/n)=lim(1/n)+lim(2/n)+……+lim(n/n)成立吗?（n趋近于无穷大）为什么不成立? lim(n+3)(4-n)/(n-1)(3-2n) lim(n^3+n)/(n^4-3n^2+1) lim[(n+3)/(n+1))]^(n-2) 【n无穷大】 lim(2^n+3^n)^1 (n趋向无穷) 高数题：n趋近于0,lim｛1/（n^2+n+1)+2/(n^2+n+2)+3/(n^2+n+3)+.+n/(n^2+n+n)｝=? lim(n+2)(n-1)/3n^2+2n+1= n趋近于无穷 lim(1-1/n)^(n^2)=? lim(1-1/n^2)^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 (2n-1)/(2^n)=?n=>无穷大 lim根号n^2+n+1/3n-2 lim n->无穷大(2^n-1)/(3^n+1) lim n->∞{2/((1+ 1/n )^n)}=?