# Is there a partial sum formula for the Harmonic Series?

• How to find the sum of this series : $1+\frac{1}{2}+ \frac{1}{3}+\frac{1}{4}+\dots+\frac{1}{n}$
$$H_n\approx\ln n+\gamma+\frac1{2n}-\frac1{12n^2}$$
is quite good, where $\gamma\approx 0.5772156649$ is the Euler-Mascheroni constant.