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?
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?