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Is f(x) = x sin^2 (1/x) , f(0)=0 uniformly continuous on R? [closed]

Is $f(x) = x \sin^2\frac1x$ , $f(0)=0$ uniformly continuous on $\mathbb R$?

I don't know whether $f(x)$ is uniformly continuous on $\mathbb R$ or not.Can I get some justification by the definition of the uniform continuity?


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