Harmonic Numbers/Examples/H1

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Example of Harmonic Number

$H_1 = 1$

where $H_1$ denotes the first harmonic number.


Proof

\(\displaystyle H_1\) \(=\) \(\displaystyle \sum_{k \mathop = 1}^1 \frac 1 k\) Definition of Harmonic Number
\(\displaystyle \) \(=\) \(\displaystyle \frac 1 1\)
\(\displaystyle \) \(=\) \(\displaystyle 1\)

$\blacksquare$


Sources