Question

A uniform continuity problem

score 125 · Answer 1 · 2014-08-14 15:02:56

125

Views

A uniform continuity problem

Published on 14 Aug 2014 - 15:02

score 54 · Answer 2 · 2014-08-16 13:20:05

54

Views

continuous on $[0,\infty)$ and uniformly continuous on $[a, \infty )$ for some $a\in \mathbb R^+$ , to show uniform continuity on $[0, \infty)$

Published on 16 Aug 2014 - 13:20

score 113 · Answer 3 · 2014-08-19 04:03:56

113

Views

$\lim_{x \to \infty} f(x)=1 $ $\implies$ $f(x) \sin x$ is uniformly continuous on $\mathbb R$?

Published on 19 Aug 2014 - 4:03

score 65 · Answer 4 · 2014-08-24 14:43:38

65

Views

Is there a uniformly continuous function such that $a_{n+1} = f(a_n)$?

Published on 24 Aug 2014 - 14:43

score 306 · Answer 5 · 2026-03-27 23:13:06

306

Views

Prove $f$ isn't uniformly continuous

Published on 27 Mar 2026 - 23:13

score 46 · Answer 6 · 2014-08-26 08:51:31

46

Views

how do we prove uniform continuity for some function

Published on 26 Aug 2014 - 8:51

score 320 · Answer 7 · 2014-08-30 08:32:25

320

Views

Check uniform continuity of functions

Published on 30 Aug 2014 - 8:32

score 96 · Answer 8 · 2014-09-05 04:09:28

96

Views

No direct proofs of "if $ f: (X, d_X) \to (Y, d_Y)$ is continuous and $X$ is compact then $f$ is uniformly continuous."

Published on 05 Sep 2014 - 4:09

score 473 · Answer 9 · 2014-09-05 05:48:17

473

Views

Showing that a map $x \to \|x\|$ is continuous?

Published on 05 Sep 2014 - 5:48

score 646 · Answer 10 · 2014-09-05 11:06:37

646

Views

Proving that the function $f(x)=e^\frac{-1}{x}$ is uniformly continuous in $(0,\infty)$

Published on 05 Sep 2014 - 11:06

score 109 · Answer 11 · 2014-09-10 11:52:04

109

Views

$f$ is uniformly continuous $\Leftrightarrow$ $\mathrm{Re}f$ and $\mathrm{Im}f$ are uniformly continuous.

Published on 10 Sep 2014 - 11:52

score 7.1k · Answer 12 · 2014-09-12 01:46:29

7.1k

Views

Modulus of continuity properties and uniform continuity.

Published on 12 Sep 2014 - 1:46

score 177 · Answer 13 · 2014-09-12 23:39:05

177

Views

Convergence of a sum of sines

Published on 12 Sep 2014 - 23:39

score 1.8k · Answer 14 · 2014-09-14 17:14:22

1.8k

Views

Prove $f$ is uniformly continuous iff $ \lim_{x\to \infty}f(x)=0$

Published on 14 Sep 2014 - 17:14

score 348 · Answer 15 · 2014-09-15 14:04:14

348

Views

If $f$ is continuous on $[0,\infty)$ and differentiable on $(0,\infty)$ and if $lim_{x\to\infty}f'(x)=0$ Then $f$ uniformly continuous on $[0,\infty)$

Published on 15 Sep 2014 - 14:04

List Question

A uniform continuity problem

continuous on $[0,\infty)$ and uniformly continuous on $[a, \infty )$ for some $a\in \mathbb R^+$ , to show uniform continuity on $[0, \infty)$

$\lim_{x \to \infty} f(x)=1 $ $\implies$ $f(x) \sin x$ is uniformly continuous on $\mathbb R$?

Is there a uniformly continuous function such that $a_{n+1} = f(a_n)$?

Prove $f$ isn't uniformly continuous

how do we prove uniform continuity for some function

Check uniform continuity of functions

No direct proofs of "if $ f: (X, d_X) \to (Y, d_Y)$ is continuous and $X$ is compact then $f$ is uniformly continuous."

Showing that a map $x \to \|x\|$ is continuous?

Proving that the function $f(x)=e^\frac{-1}{x}$ is uniformly continuous in $(0,\infty)$

$f$ is uniformly continuous $\Leftrightarrow$ $\mathrm{Re}f$ and $\mathrm{Im}f$ are uniformly continuous.

Modulus of continuity properties and uniform continuity.

Convergence of a sum of sines

Prove $f$ is uniformly continuous iff $ \lim_{x\to \infty}f(x)=0$

If $f$ is continuous on $[0,\infty)$ and differentiable on $(0,\infty)$ and if $lim_{x\to\infty}f'(x)=0$ Then $f$ uniformly continuous on $[0,\infty)$

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