lim[1/n-1/(n+1)+1/(n+2)-1/(n+3)+...+1/(2n-1)-1/2n] n趋于无穷的极限

问题描述:

lim[1/n-1/(n+1)+1/(n+2)-1/(n+3)+...+1/(2n-1)-1/2n] n趋于无穷的极限

lim[1/n-1/(n+1)+1/(n+2)-1/(n+3)+...+1/(2n-1)-1/2n]
=lim[1/n(n+1)+1/(n+2)(n+3)+...+1/(2n-1)2n]
n/(2n-1)2n