Prove that d(.;A) is continuous
73469
Continuity of the function $x\mapsto d(x,A)$ on a metric space
14578
Proving that an additive function $f$ is continuous if it is continuous at a single point
83676
Condition for continuity of bilinear form
32359
Inner product of two continuous maps is continuous
45370
Is it true that $|d(x, z) - d(y, z)| \leq d(x, y)$ and how do I prove it?
153730
Show that $f(x)=x^2$ is continuous at $a=2$ using the $\delta-\epsilon$ definition of continuity.
113503
Show that exists a not decreasing function that $f:(a,b)\rightarrow \mathbb{R}$ that is continuous only in $(a,b)\setminus D$.
85623
Proof of continuity implied by differentiability
147299
Prove that $g(x,y) = \frac{x^3y}{x^2+y^2}$ with $g(0,0)=0$ is continuous
64619
Continuity of a function of product spaces
118207
Prove that the product of two continuous functions is continuous
125682
Proof verification: the product of two continuous functions is continuous
29276
technique of proving continuity complex function
136412
Differentiable at $x=a$ implies continuous at $x=a$
127114
Differentiability implying continuity
109570
How to show that the set of points of continuity is a $G_{\delta}$
94781
Prove that $M(t)=\sup_ {a \leq x \leq t} f(x)$ given $f(x)$ is continuous on $[a,b]$