Which function is uniformly continuous on (0,1)(0, 1)(0,1)?
f(x)=1/xf(x) = 1/xf(x)=1/x
f(x)=sin(1/x)f(x) = \sin(1/x)f(x)=sin(1/x)
f(x)=xsin(1/x)f(x) = x \sin(1/x)f(x)=xsin(1/x)
f(x)=lnxf(x) = \ln xf(x)=lnx