query: Can a function be continuous at only one point in its domain and discontinuous everywhere else
positive_passages.docid: 68165
positive_passages.text: Find a function $f: \mathbb{R} \to \mathbb{R}$ that is continuous at precisely one point?
negative_passages.docid: 126842
negative_passages.text: Fixed point in a continuous function
negative_passages.docid: 14578
negative_passages.text: Proving that an additive function $f$ is continuous if it is continuous at a single point
negative_passages.docid: 113503
negative_passages.text: Show that exists a not decreasing function that $f:(a,b)\rightarrow \mathbb{R}$ that is continuous only in $(a,b)\setminus D$.
negative_passages.docid: 25482
negative_passages.text: If a function is continuous and differentiable everywhere is the derivative continuous?
negative_passages.docid: 58816
negative_passages.text: Existence of a continuous function which does not achieve a maximum.
negative_passages.docid: 132730
negative_passages.text: Is there an everywhere discontinuous increasing function?
negative_passages.docid: 127114
negative_passages.text: Differentiability implying continuity
negative_passages.docid: 154572
negative_passages.text: Continuity of a function at an isolated point
negative_passages.docid: 65346
negative_passages.text: Characterisation of uniformly continuous function
negative_passages.docid: 1014
negative_passages.text: Pointwise limit of continuous functions not Riemann integrable
negative_passages.docid: 157347
negative_passages.text: continuity, discontinuity derivative and relation to being derivative but its partials are not continuous
negative_passages.docid: 10747
negative_passages.text: Given function $g$ continuous in line $[0,\infty)$...
negative_passages.docid: 30590
negative_passages.text: Are "most" continuous functions also differentiable?
negative_passages.docid: 139720
negative_passages.text: Are all continuous one one functions differentiable?
negative_passages.docid: 50427
negative_passages.text: Is function $f:\mathbb C-\{0\}\rightarrow\mathbb C$ prescribed by $z\rightarrow \large \frac{1}{z}$ by definition discontinuous at $0$?
negative_passages.docid: 11167
negative_passages.text: A counterexample of a differentiable function on an interval whose derivative is discontinuous