求lim[1-2+3-4……+(2n-1)-2n]/2n-1

求当n→∞,Lim(1+2+3+4+……+(n-1)+n)/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? 求lim[1-2+3-4……+(2n-1)-2n]/2n-1 求极限lim(1/2n+3/4n+……+(2^n-1)/(2^n*n)) lim(1/n^2+4/n^2+7/n^2+…+3n-1/n^2) 求极限lim 2/(3^n-1) lim (1+2/n)^n+4 n-->无穷大 求极限 求lim n→∞ (1+2/n)^n+3 求lim(n+1)(n+2)(n+3)/(n^4+n^2+1) 求Lim[1/1*2+1/2*3+1/3*4+……+1/n（n+1）]^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)) 用夹逼准则求lim(1/2*3/4…2n-1/2n),n趋于无穷大 lim(n+3)(4-n)/(n-1)(3-2n) lim(n^3+n)/(n^4-3n^2+1) 求lim(n->无穷)(3n+5)/(n^2+n+4)^1/2的极限 求lim(n→∞)(1/n+2)*[1+2+3+……+(n-1)-(n^2)/2] matlab 求极限lim(1+1/2+1/3+1/4+……+1/n-lnn),n->无穷 lim(x→∞）1+2+3+…+n/(n+2)(n+4)=?