Continuous function but iterated integrals are not equal
112189
Discontinuity in function; order of integration matters
76607
Show that exists a continuous function in $E$ that is not bounded
157347
continuity, discontinuity derivative and relation to being derivative but its partials are not continuous
110458
Show that if $f$ is continuous on $(0,1)$ and $\lim_{x \to 0}f(x) = + \infty$ then $f$ is not uniformly continuous
16338
3rd iterate of a continuous function equals identity function
55268
Differentiable and Continuous functions on [0,1] with 'weird' conditions.
90745
Why aren’t continuous functions defined the other way around?
52798
Finding counterexamples: bijective continuous functions that are not homeomorphisms
50111
non-continuous function satisfies $f(x+y)=f(x)+f(y)$
58816
Existence of a continuous function which does not achieve a maximum.
138742
Why must the integral of a nonzero continuous function be nonzero?
88240
Two functions discontinuous, but sum continuous
37389
Why is this sequence of functions not uniformly convergent?
109301
Lebesgue Integral of Non-Measurable Function
14516
The space of continuous functions $C([0,1])$ is not complete in the $L^2$ norm
146846
Why is this function continuous, unlike the Dirichlet function?
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line