Harmonic Numbers/Examples/H1

From ProofWiki
Jump to navigation Jump to search

Example of Harmonic Number

$H_1 = 1$

where $H_1$ denotes the first harmonic number.


Proof

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

$\blacksquare$


Sources