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{title2=$H_n$}
{wiki}

The $n$th harmonic number is $H_n=\sum_{k=1}^n1/k$. Its asymptotic expansion begins
$$
H_n=\log n+\gamma+\frac1{2n}+O(n^{-2}),
$$
where $\gamma$ is the <Euler--Mascheroni constant>.

Harmonic number

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 150 / 1 / b / Solution

Harmonic number ( $H_{n}$ )

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Harmonic number (Hn​)

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