How to find the supremum and infimum of $f(x)=x\sin\frac{1}{x}$ over the interval $(0,\frac{2}{\pi})$?

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How to find the supremum and infimum of $f(x)=x\sin\frac{1}{x}$ over the interval $(0,\frac{2}{\pi})$?

I have shown that supremum is $\frac{2}{\pi}$. How to find infimum.