Prove that d is a continuous real valued function on $M \times M$
46834
show that a distance function is continuous
33330
Continuous Functions from $\mathbb{R}$ to $\mathbb{Q}$
64619
Continuity of a function of product spaces
110112
Proving a function is Lipschitz continuous
53497
Prove that the function is continuous and differentiable (not as easy as it sounds imo)
55238
Show that if $f:X\to Y$ is a continuous function if and only if the graph of $f$ is a closed subset of $X\times Y$
11828
continuous functions on $\mathbb R$ such that $g(x+y)=g(x)g(y)$
19178
$f$ continuous, $f^N$ analytic on a domain D implies $f$ analytic on D
53627
Proving continuity of $f$
132657
Function $ f $ defined on unit disk $ D $ has real values on $ \partial D $, why is $ f $ real valued?
117502
Proving that a certain continuous function is surjective.
87239
Prove functions defined by sup and inf are continuous
158423
How to prove that if $f$ is continuous a.e., then it is measurable.
150554
proof that $f'$ is continuous at $a$
62048
Proving a Lipschitz function is continuous
52922
let $f \colon [a,b] \to \mathbb{R}$ be continuous on $[a,b]$ and..
120947
continuous real-valued function