Fresnel Sine Integral Function of Zero

Theorem

 * $\map {\operatorname S} 0 = 0$

where $\operatorname S$ denotes the Fresnel sine integral function.

Proof
By Fresnel Sine Integral Function is Odd, $\operatorname S$ is an odd function.

Therefore, by Odd Function of Zero is Zero:


 * $\map {\operatorname S} 0 = 0$