# Harmonic Numbers/Examples/H2

## Example of Harmonic Number

$H_2 = \dfrac 3 2$

where $H_2$ denotes the second harmonic number.

## Proof

 $\displaystyle H_2$ $=$ $\displaystyle \sum_{k \mathop = 1}^2 \frac 1 k$ Definition of Harmonic Number $\displaystyle$ $=$ $\displaystyle \frac 1 1 + \frac 1 2$ $\displaystyle$ $=$ $\displaystyle \dfrac 3 2$

$\blacksquare$