The harmonic series is defined as:
H n = 1 + 1 2 + 1 3 + ⋯ + 1 n = ∑ k = 1 n 1 k n ≥ 0 {\displaystyle H_{n}=1+{\dfrac {1}{2}}+{\dfrac {1}{3}}+\dots +{\dfrac {1}{n}}=\sum _{k=1}{n}{\dfrac {1}{k}}\qquad n\geq 0}
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