Continuity of $ f(x,y)=\frac{x^{3}y}{x^{6}+y^{2}}$
52857
Behaviour of $\frac{x^{3} y}{x^{6} + y^{2}}$ around origin
13257
How to prove this problem about uniform continuity
105084
Let f be a function twice differentiable and with derivatives continuous on an interval $[a,b]$ containing $0$. Prove the following statement:
44574
Continuity of absolute value of a function
110146
I need to prove the continuity of $f(x)=\log x$ using a $\epsilon-\delta$ proof
18222
Set of continuity points of a real function
98772
Continuity of a function in $\mathbb{R}$
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
56567
Prove or disprove the uniform continuity of $f: \mathbb{C} \to \mathbb{C}, z \mapsto f(z)=\frac{z^2}{1+|z|}$
139744
For a continuous function $f$ show $\exists c\in (0,1)$ s.t $f(c)=3c^2$
125745
continuity of power series
124444
If $f$ s discontinuous at $x_0$ but $g$ is continuous there, then $f+g$?
24817
Prove continuity on a function at every irrational point and discontinuity at every rational point.
71049
Functional equation $f(xy)=f(x)+f(y)$ and continuity
84785
Is $f(x)=x+\frac{x}{x+1}$ uniformly continuous on $(0,\infty)$
72044
prove $x \mapsto x^2$ is continuous
75137
proving that $f(x) = x^s$ is holder continuous with holder exponent s