\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1cm,y=1cm]
\begin{axis}[
x=5cm,y=1.5cm,
axis lines=middle,
xmin=-1.2,
xmax=1.2,
ymin=-1.4,
ymax=1.4,
ytick={-1,...,1},
xtick=\empty,
xlabel=$x$,
ylabel=$y$,
]


\addplot[domain=0.05:3.8, red, line width=1,samples=5000] {sin(deg(1/(x)))};
\addplot[domain=-3.8:-0.05, red,  line width=1,samples=5000] {sin(deg(1/(x)))};

%\draw (-0.32,0.1) node[anchor=north west] {$-\frac{1}{\pi}$};
%\draw (0.32,0.1) node[anchor=north west] {$\frac{1}{\pi}$};
 \draw[] (axis cs:-0.32, 0.1) -- (axis cs:-0.32, -0.1);
 \node () at (axis cs:-0.35,-0.45) {$-\frac{1}{\pi}$};

  \draw[] (axis cs:0.32, 0.1) -- (axis cs:0.32, -0.1);
 \node () at (axis cs:0.33,-0.45) {$\frac{1}{\pi}$};
%\node[color=red, font=\footnotesize] at (-1,-0.25) {$f(x)=3x^3 - x^2 - 10x$};
%\node[color=blue, font=\footnotesize] at (axis cs: 1.1,2.2) {$g(x)=- x^2 + 2x$};

\end{axis}



\end{tikzpicture}