Question

$\varepsilon-\delta$ argument to show that uniform continuity of a real-valued function $f$ on some interval $A$ implies that $f$ is continuous on $A$

score 40 · Answer 1 · 2022-02-02 17:30:29

40

Views

$\varepsilon-\delta$ argument to show that uniform continuity of a real-valued function $f$ on some interval $A$ implies that $f$ is continuous on $A$

Published on 02 Feb 2022 - 17:30

score 1.2k · Answer 2 · 2022-02-03 03:22:14

1.2k

Views

Uniform convergence of a sequence of continuous functions on a compact set

Published on 03 Feb 2022 - 3:22

score 51 · Answer 3 · 2022-02-03 18:05:54

51

Views

Uniform continuity of a discontinuous function over specific sets

Published on 03 Feb 2022 - 18:05

score 51 · Answer 4 · 2022-02-05 10:18:20

51

Views

Alternative proof that a continuous function on metric spaces with compact domain is uniformly continuous

Published on 05 Feb 2022 - 10:18

score 1.1k · Answer 5 · 2022-02-12 04:55:08

1.1k

Views

Prove that the modulus of continuity is continuous

Published on 12 Feb 2022 - 4:55

score 39 · Answer 6 · 2026-04-02 11:09:50

39

Views

uniform continuity - Using Lipshitz always

Published on 02 Apr 2026 - 11:09

score 91 · Answer 7 · 2022-02-18 20:44:00

91

Views

A property of a function which is continuous on a comeager set

Published on 18 Feb 2022 - 20:44

score 73 · Answer 8 · 2022-02-23 08:33:39

73

Views

Uniform continuity contradiction

Published on 23 Feb 2022 - 8:33

score 55 · Answer 9 · 2022-02-24 08:40:11

55

Views

Is the following function uniformly continuous on the closed and bounded interval?

Published on 24 Feb 2022 - 8:40

score 33 · Answer 10 · 2022-02-24 10:47:30

33

Views

Is the follwoing function an example of an uniformly continuous function?

Published on 24 Feb 2022 - 10:47

score 35 · Answer 11 · 2022-02-26 06:17:39

35

Views

$A\subset A'$. Prove that $A$ is sequentially compact if and only if every continuous function on $A$ is uniformly continuous.

Published on 26 Feb 2022 - 6:17

score 177 · Answer 12 · 2022-02-27 04:59:48

177

Views

If $\lim_{n\to \infty}f\left(\frac{1}{n}\right)=f(0)=\lim_{n\to \infty}f\left(-\frac{1}{n}\right)$ then is $f$ continuous at $x=0$

Published on 27 Feb 2022 - 4:59

score 75 · Answer 13 · 2022-02-27 16:34:44

75

Views

Prove sin(x) is uniformly continuous on R with Heine-Cantor Theorem

Published on 27 Feb 2022 - 16:34

score 88 · Answer 14 · 2026-02-24 02:05:40

88

Views

Is this proof that arguing equicontinuousness in a compact set is uniformly continuous valid?

Published on 24 Feb 2026 - 2:05

score 226 · Answer 15 · 2022-03-14 03:09:45

226

Views

Proving the Heine-Cantor theorem on uniform continuity, but using sequences

Published on 14 Mar 2022 - 3:09

List Question

$\varepsilon-\delta$ argument to show that uniform continuity of a real-valued function $f$ on some interval $A$ implies that $f$ is continuous on $A$

Uniform convergence of a sequence of continuous functions on a compact set

Uniform continuity of a discontinuous function over specific sets

Alternative proof that a continuous function on metric spaces with compact domain is uniformly continuous

Prove that the modulus of continuity is continuous

uniform continuity - Using Lipshitz always

A property of a function which is continuous on a comeager set

Uniform continuity contradiction

Is the following function uniformly continuous on the closed and bounded interval?

Is the follwoing function an example of an uniformly continuous function?

$A\subset A'$. Prove that $A$ is sequentially compact if and only if every continuous function on $A$ is uniformly continuous.

If $\lim_{n\to \infty}f\left(\frac{1}{n}\right)=f(0)=\lim_{n\to \infty}f\left(-\frac{1}{n}\right)$ then is $f$ continuous at $x=0$

Prove sin(x) is uniformly continuous on R with Heine-Cantor Theorem

Is this proof that arguing equicontinuousness in a compact set is uniformly continuous valid?

Proving the Heine-Cantor theorem on uniform continuity, but using sequences

Trending Questions

Popular # Hahtags

Popular Questions