Proof that $f(x) = x^2$ is continuous ($\delta-\epsilon$)?
72044
prove $x \mapsto x^2$ is continuous
132873
Understanding Epsilon-Delta Proof
143618
If a function $f$ is continuous $\implies$ $|f|$ is continuous.(Answered by Myself)
53627
Proving continuity of $f$
40297
Proof of uniform limit of Continuous Functions
15914
Prove that any polynomial function is continuous
72847
Does $f(x)$ is continuous and $f = 0$ a.e. imply $f=0$ everywhere?
59839
In $\epsilon$-$\delta$ continuity over an interval, $|x-c|<\delta$ implies $|f(x)-f(c)|<\epsilon$. Since both $c$ and $x$ vary, what's the difference?
15727
show that if $f$ is uniformly differentiable then prove that $f'$ is continuous
141423
The continuity of $f(x,y) = \frac {\sin (xy)} {\sqrt {x^2 + y^2}}$ at $(0,0)$
124499
Where is the error in my proof that all derivatives are continuous?
136011
Must $f$ be continuous?
34940
Continuity of $f(x) = x^n$
150770
Why is $f^n(\xi(x))$ continuous over $x$?
76965
The epsilon-delta definition of continuity
129551
Does $\lim_{h\rightarrow 0}\ [f(x+h)-f(x-h)]=0$ imply that $f$ is continuous?
75137
proving that $f(x) = x^s$ is holder continuous with holder exponent s