Discuss uniform continuity of the following functions:
##\tan x## in ##[0,\frac{\pi}{2})##
##\frac{1}{x}\sin^2 x## in ##(0,\pi]##
##\frac{1}{x-3}## in ##(0,3),(4,\infty),(3,\infty)##
I am completely new to this uniform continuity and couldn't find a lot of examples to learn the solving pattern...