lim(1/n^2+2/n^2+……+n-1/n^2）的极限 这道题为什么不能打开 然后相加等于0?

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) lim{[n*(n+1)*……*(2n-1)]^1/n}/n n->无穷答案是4/e lim(n→∞) (1/n)[sin(π/n)+sin(2π/n)+…+sin(nπ/n)]=? lim(n→∞)(sin(n+√(n^2+n)))^2lim(n→∞)(1/n!(1!+2!+…+n!)) lim (1+2+……n）/（n+2）-n/2 n→无限 求当n→∞,Lim(1+2+3+4+……+(n-1)+n)/n lim(1/n+1 +1/n+2 +…+1/n+n) 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) 若lim(1+2+…+n)/n^2, lim (n/（n²+1）+n/（n²+2²）+…………+n/（n²+n²））=?n趋向无穷大 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 lim n→∞[1/(n+1)+1/(n+2)+…+1/(n+n)]=?求极值!lim [1/(n+1)+1/(n+2)+…+1/(n+n)]=?n→∞ lim(1/(n^2+1)+2/(n^2+2^2)+……+n/(n^2+n^2)) 求极限lim(1/2n+3/4n+……+(2^n-1)/(2^n*n))