Uniform Continuity and Continuity
113871
Prove $f(x) = \sqrt x$ is uniformly continuous on $[0,\infty)$
74364
Show that function $f$ has a continuous extension to $[a,b]$ iff $f$ is uniformly continuous on $(a,b)$
83831
Continuity based on restricted continuity of two subsets
77322
Uniform continuity of $\sin(x\sin x )$ for all $x\in (0,\infty)$
62817
Functions which are Continuous, but not Bicontinuous
3856
Uniform Continuity of $x \sin x$
123981
Is it possible to write any bounded continuous function as a uniform limit of smooth functions
57180
Techniques to prove a function is uniformly continuous
135661
Weakly continuous operators are continuous
5881
$\sqrt x$ is uniformly continuous
44574
Continuity of absolute value of a function
64619
Continuity of a function of product spaces
36166
Uniform continuity on (0,1) implies boundedness
50366
Convolution is uniformly continuous and bounded
125745
continuity of power series
44544
What is the geometrical difference between continuity and uniform continuity?
34940
Continuity of $f(x) = x^n$