Du Bois-Reymond Constants/Example/First

Example of Du Bois-Reymond Constant
The first du Bois-Reymond constant $C_1$ does not exist.

This is because:
 * $\ds \int_0^\infty \size {\map {\dfrac \d {\d t} } {\dfrac {\sin t} t}^n} \rd t - 1$

does not converge.