# Definition:Dirichlet Conditions/Examples

## Examples of Dirichlet Conditions

### Reciprocal of $4 - x^2$

The function:

$\map f x = \dfrac 1 {4 - x^2}$

does not satisfy the Dirichlet conditions on the real interval $\openint 0 {2 \pi}$.

### Sine of $\dfrac 1 {x - 1}$

The function:

$f \left({x}\right) = \sin \left({\dfrac 1 {x - 1} }\right)$

does not satisfy the Dirichlet conditions on the real interval $\left({0 \,.\,.\, 2 \pi}\right)$.