Proving that $f(x,y) = \frac{xy^2}{x^2 + y^2}$ with $f(0,0)=0$ is a continuous function using epsilon-delta.
33499
For which $a\in \mathbb{R}$ is $f(x,y) = \frac{xy^a}{x^2+y^2}$ with $f(0,0)=0$ continuous?
72044
prove $x \mapsto x^2$ is continuous
127449
Uniform continuous of $f(x,y) = \sin(x^2+y)$
141423
The continuity of $f(x,y) = \frac {\sin (xy)} {\sqrt {x^2 + y^2}}$ at $(0,0)$
4062
prove that $f(x)=\log(1+x^2)$ is Uniform continuous with $\epsilon ,\delta$ ...
53497
Prove that the function is continuous and differentiable (not as easy as it sounds imo)
76965
The epsilon-delta definition of continuity
85412
Epsilon delta proof for $\lim_\limits{x\to a} \sqrt{x} = \sqrt{a}$ where $a>0$
34127
Prove $\lim_{x \rightarrow 0} \frac {\sin(x)}{x} = 1$ with the epsilon-delta definition of limit.
29276
technique of proving continuity complex function
57180
Techniques to prove a function is uniformly continuous
131992
A problem on continuous functions
151573
Show f is continuous on (0, ∞) iff f is continuous at 1 for a defined function.
63950
Prove that to each $\epsilon >0$, there exists a $\delta >0$ so that the Lebesgue integral...
141223
$f(x^2) = 2f(x)$ and $f(x)$ continuous
50103
Show that a continuous function satisfying $f(2^x)=f(3^x)$ for $x\in (0,\infty)$ is a constant function
20273
Prove that if $|f(x)| \leq x^2$, then the function is continuous and differentiable at $x=0$.