Which function f(x)f(x)f(x) is uniformly continuous on (0,1)(0, 1)(0,1) but not on R\mathbb{R}R?
f(x)=sin(x2)f(x) = \sin(x^2)f(x)=sin(x2)
f(x)=1xf(x) = \frac{1}{x}f(x)=x1
f(x)=exf(x) = e^xf(x)=ex
f(x)=tan(x)f(x) = \tan(x)f(x)=tan(x)