Question

Why is the continuous function $ x^{2} + 2x - 7 $ on $ (1,4) $ uniformly continuous?

score 287 · Answer 1 · 2016-11-30 14:21:50

287

Views

Why is the continuous function $ x^{2} + 2x - 7 $ on $ (1,4) $ uniformly continuous?

Published on 30 Nov 2016 - 14:21

score 2.4k · Answer 2 · 2016-11-30 21:20:05

2.4k

Views

Proving if f has a continuous extension to [a,b] then f is uniformly continuous on (a,b).

Published on 30 Nov 2016 - 21:20

score 508 · Answer 3 · 2016-12-01 18:15:20

508

Views

What can you say about a continuous function that is zero at all integer values?

Published on 01 Dec 2016 - 18:15

score 4.1k · Answer 4 · 2016-12-01 19:27:54

4.1k

Views

Prove that if $f$ is uniformly continuous on $[a,b]$ and $f$ is uniformly continuous on $[b,c]$, then $f$ is uniformly continuous on $[a,c]$.

Published on 01 Dec 2016 - 19:27

score 50 · Answer 5 · 2016-12-01 23:10:29

50

Views

$V_2$ is complete implies set of all continuous bounded functions $f:V_1\to V_2$ complete

Published on 01 Dec 2016 - 23:10

score 146 · Answer 6 · 2026-03-29 22:25:22

146

Views

Using Cauchy Sequences in Uniform Continuity

Published on 29 Mar 2026 - 22:25

score 99 · Answer 7 · 2016-12-07 14:11:37

99

Views

$f:\Bbb R\to \Bbb R$ be a continuous function such that $f(i)=0\forall i\in \Bbb Z$

Published on 07 Dec 2016 - 14:11

score 279 · Answer 8 · 2016-12-08 09:43:55

279

Views

Uniform Continuity of $\frac{e^{-\frac{1}{x}}}{x}$

Published on 08 Dec 2016 - 9:43

score 435 · Answer 9 · 2016-12-08 23:28:06

435

Views

Uniform continiuity vs. Continuity / cts. vs. not everywhere differentiable

Published on 08 Dec 2016 - 23:28

score 2k · Answer 10 · 2016-12-10 04:00:11

2k

Views

$f(x)=x^\alpha$ uniformly continuous on [$0,\infty)$? using MVT

Published on 10 Dec 2016 - 4:00

score 1.4k · Answer 11 · 2016-12-10 20:07:17

1.4k

Views

Prove ax+b is uniformly continuous on R

Published on 10 Dec 2016 - 20:07

score 201 · Answer 12 · 2026-03-25 17:53:05

201

Views

prove a piece-wise f(x) is continuous but not uniformly continuous on [0,1)

Published on 25 Mar 2026 - 17:53

score 1.1k · Answer 13 · 2016-12-13 18:54:25

1.1k

Views

theorem of sequence of continuous functions

Published on 13 Dec 2016 - 18:54

score 3.8k · Answer 14 · 2016-12-13 21:38:13

3.8k

Views

Is $f(x)=\frac{1}{x^2+1}$ uniformly continuous on $\mathbb{R}$?

Published on 13 Dec 2016 - 21:38

score 842 · Answer 15 · 2016-12-17 16:44:07

842

Views

Characterisation of uniformly continuous function

Published on 17 Dec 2016 - 16:44

List Question

Why is the continuous function $ x^{2} + 2x - 7 $ on $ (1,4) $ uniformly continuous?

Proving if f has a continuous extension to [a,b] then f is uniformly continuous on (a,b).

What can you say about a continuous function that is zero at all integer values?

Prove that if $f$ is uniformly continuous on $[a,b]$ and $f$ is uniformly continuous on $[b,c]$, then $f$ is uniformly continuous on $[a,c]$.

$V_2$ is complete implies set of all continuous bounded functions $f:V_1\to V_2$ complete

Using Cauchy Sequences in Uniform Continuity

$f:\Bbb R\to \Bbb R$ be a continuous function such that $f(i)=0\forall i\in \Bbb Z$

Uniform Continuity of $\frac{e^{-\frac{1}{x}}}{x}$

Uniform continiuity vs. Continuity / cts. vs. not everywhere differentiable

$f(x)=x^\alpha$ uniformly continuous on [$0,\infty)$? using MVT

Prove ax+b is uniformly continuous on R

prove a piece-wise f(x) is continuous but not uniformly continuous on [0,1)

theorem of sequence of continuous functions

Is $f(x)=\frac{1}{x^2+1}$ uniformly continuous on $\mathbb{R}$?

Characterisation of uniformly continuous function

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