Question

Studying the uniform continuity of $f(x) =x^2$ on the set of real numbers.

score 157 · Answer 1 · 2026-04-03 15:39:44

157

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Studying the uniform continuity of $f(x) =x^2$ on the set of real numbers.

Published on 03 Apr 2026 - 15:39

score 388 · Answer 2 · 2017-11-12 18:26:56

388

Views

Proof $f-g$ and $|f|$ is continuous with the $\epsilon$-$\delta$-definition

Published on 12 Nov 2017 - 18:26

score 129 · Answer 3 · 2017-11-13 01:04:04

129

Views

limit epsilon-delta problem

Published on 13 Nov 2017 - 1:04

score 77 · Answer 4 · 2017-11-13 15:41:44

77

Views

Am I doing the steps correctly in this epsilon-delta proof?

Published on 13 Nov 2017 - 15:41

score 425 · Answer 5 · 2017-11-13 16:13:17

425

Views

Cubic Function and Epsilon-Delta Definition

Published on 13 Nov 2017 - 16:13

score 82 · Answer 6 · 2017-11-14 01:57:55

82

Views

epsilon-delta finding a relationship for $\epsilon$ and $\delta$

Published on 14 Nov 2017 - 1:57

score 112 · Answer 7 · 2017-11-14 13:37:19

112

Views

Prove equivalence of two epsilon-delta statements?

Published on 14 Nov 2017 - 13:37

score 117 · Answer 8 · 2026-04-03 15:28:52

117

Views

Studying uniform continuity.

Published on 03 Apr 2026 - 15:28

score 6k · Answer 9 · 2017-11-15 03:29:27

6k

Views

If f is continuous for every real number and $f(r)=0$ for every rational number, then $f(x)=0$ for all real numbers.

Published on 15 Nov 2017 - 3:29

score 133 · Answer 10 · 2017-11-15 18:45:01

133

Views

Proving $0<|x-a|<\delta$ =>$|g(x) > |M|/2$ (Epsilon-Delta problem)

Published on 15 Nov 2017 - 18:45

score 526 · Answer 11 · 2017-11-16 13:39:07

526

Views

Check for differentiability.

Published on 16 Nov 2017 - 13:39

score 656 · Answer 12 · 2017-11-16 19:55:45

656

Views

Show that $\mathbb{R} \times X \to X: (\lambda, x ) \mapsto \lambda x$ is continuous

Published on 16 Nov 2017 - 19:55

score 75 · Answer 13 · 2017-11-17 07:34:59

75

Views

Epsilon-Delta Criterion:$ f(x) = \frac{1}{x^2 + 4}, D(f) = \Bbb R$

Published on 17 Nov 2017 - 7:34

score 43 · Answer 14 · 2017-11-17 14:49:40

43

Views

How to prove that $\lim_{x\rightarrow n^-}e^{\frac{n}{x-n}} = 0$ using a $\delta-\varepsilon$ proof.

Published on 17 Nov 2017 - 14:49

score 91 · Answer 15 · 2017-11-17 18:49:37

91

Views

Show that $f: \mathbb{R} \to \mathbb{R}: x \mapsto x^2 $ is continuous

Published on 17 Nov 2017 - 18:49

List Question

Studying the uniform continuity of $f(x) =x^2$ on the set of real numbers.

Proof $f-g$ and $|f|$ is continuous with the $\epsilon$-$\delta$-definition

limit epsilon-delta problem

Am I doing the steps correctly in this epsilon-delta proof?

Cubic Function and Epsilon-Delta Definition

epsilon-delta finding a relationship for $\epsilon$ and $\delta$

Prove equivalence of two epsilon-delta statements?

Studying uniform continuity.

If f is continuous for every real number and $f(r)=0$ for every rational number, then $f(x)=0$ for all real numbers.

Proving $0<|x-a|<\delta$ =>$|g(x) > |M|/2$ (Epsilon-Delta problem)

Check for differentiability.

Show that $\mathbb{R} \times X \to X: (\lambda, x ) \mapsto \lambda x$ is continuous

Epsilon-Delta Criterion:$ f(x) = \frac{1}{x^2 + 4}, D(f) = \Bbb R$

How to prove that $\lim_{x\rightarrow n^-}e^{\frac{n}{x-n}} = 0$ using a $\delta-\varepsilon$ proof.

Show that $f: \mathbb{R} \to \mathbb{R}: x \mapsto x^2 $ is continuous

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