lim(1+2n+3n^2+……+2004n^2003)/(n^2003+2n^2002+……+2003n+2004)

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(1/n^2+4/n^2+7/n^2+…+3n-1/n^2) 求当n→∞,Lim(1+2+3+4+……+(n-1)+n)/n 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) 求极限lim(1/2n+3/4n+……+(2^n-1)/(2^n*n)) Lim(1/n^3 +2^2/n^3 +3^2/n^3+…+n^2/n^3)等于 求极限 lim【1/（n^2+n+1）+2/（n^2+n+2）+3/（n^2+n+3）+……+n求极限 lim【1/（n^2+n+1）+2/（n^2+n+2）+3/（n^2+n+3）+……+n/（n^2+n+n）】n趋向于无穷 过程及我的错误点 求lim[1-2+3-4……+(2n-1)-2n]/2n-1 lim[1+3+5+…+(2n-1)/[n(2n-1)]等于多少? lim(x→∞）1+2+3+…+n/(n+2)(n+4)=? lim(1+4+7+…+(3n-2))/(7n^2-5n), lim(n—无穷大)n!/2×5×8×…×(3n-1)如题, 若lim(1+2+…+n)/n^2, lim(n→∞)(sin(n+√(n^2+n)))^2lim(n→∞)(1/n!(1!+2!+…+n!)) 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))