lim(1+2n+3n^2+……+2004n^2003)/(n^2003+2n^2002+……+2003n+2004)
lim(1/n^2+4/n^2+7/n^2+…+3n-1/n^2)
求极限 lim n[1/(n^2+1)+1/(n^2+2^2)+……+1/(n^n+n^n)] (n趋向于无穷大,n^n
(1/(n^2 n 1 ) 2/(n^2 n 2) 3/(n^2 n 3) ……n/(n^2 n n)) 当N越于无穷大
请问如何证明lim(n→∞)[n/(n2+n)+n/(n2+2n)+…+n/(n2+nn)]=1,
求极限lim(1/2n+3/4n+……+(2^n-1)/(2^n*n))
求极限 lim【1/(n^2+n+1)+2/(n^2+n+2)+3/(n^2+n+3)+……+n
lim[(n+3)/(n+1))]^(n-2) 【n无穷大】
极限计算:lim { [1+3+5+…+(2n+1)] / (n^2) }^(n)=(
lim(x→∞)1+2+3+…+n/(n+2)(n+4)=?
若lim(1+2+…+n)/n^2,
求极限Xn=n/(n^2+1)+n/(n^2+2)+n/(n^2+3)+……+n/(n^2+n),
用数学归纳法证明:1×2×3+2×3×4+…+n×(n+1)×(n+2)=n(n+1)(n+2)(n+3)4(n∈N