harmonic series

    \[\boxed{\sum\limits_{n=1}^\infty \fr{n}=1+\fr{2}+\fr{3}+\fr{4}+\dots}\]

The partial sums of the harmonic series are called the harmonic numbers H_n.

    \[H_n=\log n+\fr{n}+\gamma_n\]

where \{\gamma_n\} is a sequence converging to a constant \gamma. (see Euler’s number \gamma)


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references

Bonar, Khoury – Real infinite series (2006)

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