let $f$ be a continuous function on $(0,2]$
15579
Show that $f$ is uniformly continuous if limit exists
136011
Must $f$ be continuous?
98772
Continuity of a function in $\mathbb{R}$
9320
Extension of continuous function on a closed subset of $\mathbb{R}$
8836
If $f$ is continuous on $[a , b]$ and $\int_a^b f(x) p(x)dx = 0$ then $f = 0$
146306
A continuous surjective function from $(0,1]$ onto $[0,1]$
129716
Let $f$ be continuous on $ [a,b]$, differentiable on $ (a,b) $ and $ f(x) \neq 0 \forall x \in (a,b) $ Prove $ \exists c \in (a,b) $ such that
80643
Show that f(x) defined on [0,infinity) R to is continuous at 0.
112409
If $f$ is continuous and $f'(x)\ge 0$, outside of a countable set, then $f$ is increasing
147247
Continuous function on closed unit ball
3772
About the continuity of the function $f(x) = \sum\limits_k2^{-k}\mathbf 1_{q_k \leq x}$
127449
Uniform continuous of $f(x,y) = \sin(x^2+y)$
64619
Continuity of a function of product spaces
34940
Continuity of $f(x) = x^n$
139744
For a continuous function $f$ show $\exists c\in (0,1)$ s.t $f(c)=3c^2$
117502
Proving that a certain continuous function is surjective.
12349
a construction of a continuous function from a normal space to [0,1]