Prove Hölder continuity of power function
75137
proving that $f(x) = x^s$ is holder continuous with holder exponent s
3518
Proving $f(x)=1/x$ on $(0,1 )$ is not uniformly continuous
15914
Prove that any polynomial function is continuous
65346
Characterisation of uniformly continuous function
24817
Prove continuity on a function at every irrational point and discontinuity at every rational point.
46642
Continuity of $\sin(x)/x$
153730
Show that $f(x)=x^2$ is continuous at $a=2$ using the $\delta-\epsilon$ definition of continuity.
150770
Why is $f^n(\xi(x))$ continuous over $x$?
81223
Real Analysis Question: continuity of $f(x) = \sum_{q_n<x} 1/n^2$
72044
prove $x \mapsto x^2$ is continuous
102918
Prove $\sin x$ is uniformly continuous on $\mathbb R$
123197
$C^2 $embedded in holder space?
150554
proof that $f'$ is continuous at $a$
4062
prove that $f(x)=\log(1+x^2)$ is Uniform continuous with $\epsilon ,\delta$ ...
17223
Continuity of an inverse function.
80643
Show that f(x) defined on [0,infinity) R to is continuous at 0.
3856
Uniform Continuity of $x \sin x$