Question about writing a proof with continuous functions
72044
prove $x \mapsto x^2$ is continuous
126212
Proving uniform continuity on an interval
60700
Continuity of a function to the integers
15487
Continuous function from a connected set?
149354
Proof of continuity $f(x+y) = f(x) + f(y)$
139744
For a continuous function $f$ show $\exists c\in (0,1)$ s.t $f(c)=3c^2$
73585
Why is the function continuous, if it is defined only on integers?
50725
Inverse of function is continuous or not?
47498
Integration and theorems on continuous functions
17234
Show that a continuous function has a fixed point
113687
$f$ is continuous function from $ [0,1]$ to itself and f(0)=0, f(1)=1 and $f(f(x))=x$ then show that $f(x)=x$ on$[0,1]$
104044
Prove continuous functions $f$ and $g$ are equal
53627
Proving continuity of $f$
126842
Fixed point in a continuous function
111990
Continuous function from $(0, 1]$ onto $(0, 1)$?
118207
Prove that the product of two continuous functions is continuous
134752
Proof (epsilon delta) for the continuity of a function at a point