Question

$\frac{\sin x}{x}$ uniform continuity by definition

score 193 · Answer 1 · 2017-01-29 17:16:36

193

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$\frac{\sin x}{x}$ uniform continuity by definition

Published on 29 Jan 2017 - 17:16

score 781 · Answer 2 · 2017-01-29 19:27:44

781

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Prob. 10, Chap. 4 in Baby Rudin: Any continuous mapping of a compact metric space into any metric space is uniformly continuous

Published on 29 Jan 2017 - 19:27

score 1.3k · Answer 3 · 2026-03-30 02:07:10

1.3k

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Prob. 11, Chap. 4 in Baby Rudin: uniformly continuous extension from a dense subset to the entire space

Published on 30 Mar 2026 - 2:07

score 262 · Answer 4 · 2026-03-21 23:46:21

262

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Could you please help give a hint to solve this problem in real analysis (uniform convergence)?

Published on 21 Mar 2026 - 23:46

score 974 · Answer 5 · 2017-01-30 18:10:55

974

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Prob. 12, Chap. 4 in Baby Rudin: A uniformly continuous function of a uniformly continuous function is uniformly continuous

Published on 30 Jan 2017 - 18:10

score 682 · Answer 6 · 2017-01-31 18:03:04

682

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Uniform Continuity exercise

Published on 31 Jan 2017 - 18:03

score 681 · Answer 7 · 2017-02-01 09:01:32

681

Views

Prob. 13, Chap. 4 in Baby Rudin: Extension of a uniformly continuous real function from a dense subset to the entire space

Published on 01 Feb 2017 - 9:01

score 106 · Answer 8 · 2017-02-01 11:33:50

106

Views

Two (simple) questions on uniform continuity

Published on 01 Feb 2017 - 11:33

score 102 · Answer 9 · 2017-02-01 11:58:40

102

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About continuity on $\mathbb Q\cap [0,1]$

Published on 01 Feb 2017 - 11:58

score 133 · Answer 10 · 2017-02-01 13:04:06

133

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Uniform continuity of $f(x)=\int_0^x \sin^2(t^2)\textrm{d}t.$

Published on 01 Feb 2017 - 13:04

score 232 · Answer 11 · 2017-02-02 10:26:44

232

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Name for Theorem: Extension of Uniformly Continuous Function on Dense Subset?

Published on 02 Feb 2017 - 10:26

score 3.6k · Answer 12 · 2017-02-03 00:12:18

3.6k

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How to prove that $f(x)=e^{x}$ is not a polynomial.

Published on 03 Feb 2017 - 0:12

score 108 · Answer 13 · 2017-02-04 14:15:01

108

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Prove that $f\colon [a;\infty) \to \mathbb{R} $ is uniform continuous if $f$ is continuous.

Published on 04 Feb 2017 - 14:15

score 412 · Answer 14 · 2017-02-05 07:23:06

412

Views

Real Analysis: Uniform Continuity

Published on 05 Feb 2017 - 7:23

score 193 · Answer 15 · 2017-02-05 08:48:39

193

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Is $f(x) = x\ln x +{\frac{1}{x}}\sin(x^3)$ uniformly continuous?

Published on 05 Feb 2017 - 8:48

List Question

$\frac{\sin x}{x}$ uniform continuity by definition

Prob. 10, Chap. 4 in Baby Rudin: Any continuous mapping of a compact metric space into any metric space is uniformly continuous

Prob. 11, Chap. 4 in Baby Rudin: uniformly continuous extension from a dense subset to the entire space

Could you please help give a hint to solve this problem in real analysis (uniform convergence)?

Prob. 12, Chap. 4 in Baby Rudin: A uniformly continuous function of a uniformly continuous function is uniformly continuous

Uniform Continuity exercise

Prob. 13, Chap. 4 in Baby Rudin: Extension of a uniformly continuous real function from a dense subset to the entire space

Two (simple) questions on uniform continuity

About continuity on $\mathbb Q\cap [0,1]$

Uniform continuity of $f(x)=\int_0^x \sin^2(t^2)\textrm{d}t.$

Name for Theorem: Extension of Uniformly Continuous Function on Dense Subset?

How to prove that $f(x)=e^{x}$ is not a polynomial.

Prove that $f\colon [a;\infty) \to \mathbb{R} $ is uniform continuous if $f$ is continuous.

Real Analysis: Uniform Continuity

Is $f(x) = x\ln x +{\frac{1}{x}}\sin(x^3)$ uniformly continuous?

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