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:

$\map f x = \map \sin {\dfrac 1 {x - 1} }$

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