Continuity of $\frac{x^3y^2}{x^4+y^4}$ at $(0,0)$?
13510
Multivariable Delta Epsilon Proof $\lim_{(x,y)\to(0,0)}\frac{x^3y^2}{x^4+y^4}$ --- looking for a hint
139744
For a continuous function $f$ show $\exists c\in (0,1)$ s.t $f(c)=3c^2$
87055
How to prove $\frac{x}{1+x^2}0$?
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
5478
Limit of $\lim_{(x,y)\rightarrow(0,0)}\frac{x^2y^2}{x^3+y^3}$
53627
Proving continuity of $f$
134752
Proof (epsilon delta) for the continuity of a function at a point
154572
Continuity of a function at an isolated point
19828
Show that $\frac{x^3}{x^2+y^2}$ is not differentiable at $(0,0)$, even though all directional derivatives exist
50103
Show that a continuous function satisfying $f(2^x)=f(3^x)$ for $x\in (0,\infty)$ is a constant function
18222
Set of continuity points of a real function
67853
Prove existence of $\lim_{(x,y) \rightarrow (0,2)} \frac{x (y-2)^3}{3x - 5(y-2)^4}$
115077
Prove continuity for cubic root using epsilon-delta
53349
Prove that $\sqrt{x}$ is continuous on its domain $[0, \infty).$
109994
Show discontinuity of $\frac{xy}{x^2+y^2}$
84785
Is $f(x)=x+\frac{x}{x+1}$ uniformly continuous on $(0,\infty)$
109896
Proving that the function $f(x,y)=\frac{x^2y}{x^2 + y^2}$ with $f(0,0)=0$ is continuous at $(0,0)$.