So I supposed to find out if $$f(x)=\frac{1}{1+\ln^2 x}$$ is uniformly continuous on $I=(0,\infty)$ So I have been thinking a lot. Could I say that $f$ is continuous on $[0,1]$ and therefore uniformly continuous here? Or is this not valid, because $\ln$ is not defined at $x=0$? And then say that the derivate is bounded at $[1,\infty]$?
Uniformly continuous or not?
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uniform-continuity