![\[\boxed{\sum\limits_{n=1}^\infty \fr{n}=1+\fr{2}+\fr{3}+\fr{4}+\dots}\]](https://www.adamponting.com/wp-content/ql-cache/quicklatex.com-a7f7fea8c71c01846ab8766746c90563_l3.png "Rendered by QuickLaTeX.com")
The partial sums of the harmonic series are called the harmonic numbers 
.
![\[H_n=\log n+\fr{n}+\gamma_n\]](https://www.adamponting.com/wp-content/ql-cache/quicklatex.com-3e81b88594670cb227aaeefca3a7b28a_l3.png "Rendered by QuickLaTeX.com")
where 
is a sequence converging to a constant 
. (see Euler’s number )
references
Bonar, Khoury – Real infinite series (2006)
The partial sums of the harmonic series are called the harmonic numbers .
where is a sequence converging to a constant . (see Euler’s number )
references
Bonar, Khoury – Real infinite series (2006)