lim(1/n+1/(n+1)^2+…+1/(2n)^2) n趋向于正无穷大

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+1))]^(n-2) 【n无穷大】 lim(2^n+3^n)^1 (n趋向无穷) lim(n^3+n)/(n^4-3n^2+1) lim(1-1/n)^(n^2)=? lim(1-1/n^2)^n=? lim(1/n^2+4/n^2+7/n^2+…+3n-1/n^2) lim(n/n+1)^n 等于多少? 若lim(1+2+…+n)/n^2, lim(n→∞)(sin(n+√(n^2+n)))^2lim(n→∞)(1/n!(1!+2!+…+n!)) lim In(n+1) / In(n+2) 是多少lim [In(n+1) / In(n+2)] 是多少 求1.lim(3n-(3n^2+2n)/(n-1)) 2.lim(8+1/(n+1)) 3.lim根号n(根号(n+1)-根号(n-3)) lim n->无穷大(2^n-1)/(3^n+1) lim (1+1/2n)^n n趋向于无穷大 lim n->∞{2/((1+ 1/n )^n)}=? lim(1+1/(n+2))^n其中n趋近无穷 lim(1/n+1 +1/n+2 +…+1/n+n)