Harmonic Numbers/Examples/H0

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Example of Harmonic Number

$H_0 = 0$

where $H_0$ denotes the zeroth harmonic number.


Proof

\(\displaystyle H_0\) \(=\) \(\displaystyle \sum_{k \mathop = 1}^0 \frac 1 k\) Definition of Harmonic Number
\(\displaystyle \) \(=\) \(\displaystyle 0\) Definition of Vacuous Summation

$\blacksquare$


Sources