How can I solve this limit: $\lim_{n\to \infty } \left(\frac{1}{1+n} + \frac{1}{2+n} + ... + \frac{1}{2n} \right) $?
The limit of truncated sums of harmonic series, $\lim\limits_{k\to\infty}\sum_{n=k+1}^{2k}{\frac{1}{n}}$