Continuity at origin
86634
How to find $ \lim_{(x,y)\to(0,0)} \frac{\sin^2 (x-y)}{|x|+|y|} $?
128911
Continuous extension of a real function
147152
Why did mathematicians introduce the concept of uniform continuity?
77322
Uniform continuity of $\sin(x\sin x )$ for all $x\in (0,\infty)$
9301
Application of Green's Theorem when undefined at origin
16291
Discontinuous derivative.
60521
Continuity of a convex function
114691
Why can't differentiability be generalized as nicely as continuity?
136011
Must $f$ be continuous?
82210
Analytic continuation of function continuous on boundary
143951
Can we determine uniform continuity from graphs?
69378
The derivative of $x!$ and its continuity
33289
Negation of definition of continuity
85623
Proof of continuity implied by differentiability
36227
Show continuity or uniform continuity of $\phi: (C([0,1];\Bbb R ),||\cdot||_\infty )\to (\Bbb R, |\cdot | )$
62334
Continuity and Joint Continuity
98666
Continuity defined for rational and irrational numbers