# Math Help - Uniform continuity

1. ## Uniform continuity

Show that $f(x)=\frac 1{x-1}$ is not uniformly continuous on $(1,6)$.

2. Take $\epsilon=10$.

Suppose there exists $0<\delta<1$ satisfyng the definition of uniform convergence.

Choose $x=1+\delta,\;y=1+\delta/11$.

Prove that $|x-y|<\delta$ and $|f(x)-f(y)|>10$ (absurd)

Regards.