Proving $ \frac{x^3y^2}{x^4+y^4}$ is continuous.
131485
Continuity of $\frac{x^3y^2}{x^4+y^4}$ at $(0,0)$?
104498
Show that $x^3y^3(x^3+y^3) \leq 2$
75479
Proving that this function is continuous on $G\times G$
13257
How to prove this problem about uniform continuity
87055
How to prove $\frac{x}{1+x^2}0$?
109994
Show discontinuity of $\frac{xy}{x^2+y^2}$
33499
For which $a\in \mathbb{R}$ is $f(x,y) = \frac{xy^a}{x^2+y^2}$ with $f(0,0)=0$ continuous?
100740
proof of that a continuous function has a fixed point
97553
Continuity of $\frac{2xy}{x^2+y^2}$ at $(0,0)$
149827
show that $x\sin\left(\frac{1}{x}\right)$ is uniformly continuous on $(0,1)$
50103
Show that a continuous function satisfying $f(2^x)=f(3^x)$ for $x\in (0,\infty)$ is a constant function
52380
How to prove the function $e^x$ is continous for all real numbers
125745
continuity of power series
14578
Proving that an additive function $f$ is continuous if it is continuous at a single point
110126
Prove that $\lim\limits_{(x,y) \to (0,0)} \frac{{x{y^2}}}{{{x^2} + {y^4}}} = 0$
1986
Show $1/(1+ x^2)$ is uniformly continuous on $\Bbb R$.
15914
Prove that any polynomial function is continuous