求极限 n趋向于无穷大 lim n^2[k/n-1/(n+1)-1/(n+2)-……-1/(n+k)]
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/08 19:44:44
求极限 n趋向于无穷大 lim n^2[k/n-1/(n+1)-1/(n+2)-……-1/(n+k)]
求极限 n趋向于无穷大 lim n^2[k/n-1/(n+1)-1/(n+2)-……-1/(n+k)]
求极限 n趋向于无穷大 lim n^2[k/n-1/(n+1)-1/(n+2)-……-1/(n+k)]
k/n -1 /(n+1) - 1/(n+2)-……-1/(n+k)
= [1/n - 1/(n+1)] + [1/n - 1/(n+2)] + [1/n-1/(n+3)] + .+ [1/n - 1/(n+k)]
= 1/[n(n+1)] + 2 / [n (n+2)] + 3 /[n(n+3)] + .+ k / [n(n+k)]
原式 = lim(n->∞) n² { 1/[n(n+1)] + 2 / [n (n+2)] + 3 /[n(n+3)] + .+ k / [n(n+k)] }
= 1 + 2 + 3 + .+ k
= k(k+1)/2
lim π^n/2^n+3^n.求极限lim n趋向于正无穷大.具体解算,
lim π^n/(2^n+3^n).求极限lim n趋向于正无穷大.具体解算,
求下列极限.lim(n趋向于无穷大)(2x次方)*(sin*1/2x次方)
n趋向于无穷大时,极限LIM(n^2)sin^2(Θ/n)=-(Θ^2)/2 求具体过程.
求lim(1+1/n+2)=n->0的极限?(n趋向无穷大)
极限lim n2^n/n^n= n趋向于无穷大极限lim n2^n/n^n=?
求极限 n趋向于无穷大 lim n^2[k/n-1/(n+1)-1/(n+2)-……-1/(n+k)]
lim (1+1/2n)^n n趋向于无穷大
求极限 lim( √N^2+N )-N X趋向于无穷 求极限
求极限根号下n的平方加上2n减去n.n趋向于无穷大.
求极限(n+4/n+3)∧2n.n趋向于无穷大
lim√1+1/n^2 n趋向于无穷大
利用定积分定义求极限lim(n趋向于无穷大)(1+√2+√3+…+√n)/n√n
f(x+1)=lim(n+x/n+2)^n (即为n趋向于无穷大时的极限); 求f(x)
求数列lim√n(√(n 2)-√(n-1))的极限(n趋向于无穷大)
lim[n/(n*n+1*1)+n/(n*n+2*2)+...+n/(n*n+n*n)],当x趋向无穷大时,怎么求极限,
求极限lim(1+1/n)^nlim(1+1/n)^n n趋向无穷大
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表示n