Give an example of the \(C ^ { \infty } ( \mathbb { R } )\) function f (x) with the following properties:
\[ \begin{array} { r l } & { \mathrm { 1 ) } \quad f ^ { ( n ) } ( 0 ) = 1 \mathrm { f o r ~ s o m e } n \geqslant 0 , } \\ & { \mathrm { 2 ) } \quad f ^ { ( i ) } ( 0 ) = 0 , i \geqslant 0 , i \neq n , } \\ & { \mathrm { 3 ) } \quad \displaystyle \int _ { 0 } ^ { \infty } | f ( x ) | d x < \infty . } \end{array}\tag{13} \]