I need to know, for one summation of series, if the topological sine define as
\begin{align}
f:\mathbb{R}&\rightarrow\mathbb{R}\newline
x&\mapsto \begin{cases} \sin\frac{1}{x}&\text{ if }x\neq 0\newline
0&\text{ if }x=0\end{cases} 
\end{align}
has an antiderivative or primitive.