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Question regarding Thomae's function continuity proof

score 238 · Answer 1 · 2020-10-24 01:10:45

238

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Question regarding Thomae's function continuity proof

Published on 24 Oct 2020 - 1:10

score 265 · Answer 2 · 2020-10-24 04:29:11

265

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Continuity on an open interval and the epsilon-delta definition of continuity

Published on 24 Oct 2020 - 4:29

score 123 · Answer 3 · 2020-10-25 00:10:01

123

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In delta-epsilon proofs of the limit, why is $\delta$ sometime set to be a minimum of $1$ and some expression of $\epsilon$?

Published on 25 Oct 2020 - 0:10

score 27 · Answer 4 · 2020-10-25 11:38:51

27

Views

Proving the non existence of a multivariable limit.

Published on 25 Oct 2020 - 11:38

score 35 · Answer 5 · 2020-10-26 01:13:20

35

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Finding $\delta$ for a limit statement in terms of $\epsilon$

Published on 26 Oct 2020 - 1:13

score 325 · Answer 6 · 2020-10-26 09:18:43

325

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Spivak - a function cannot approach two different limits near a, why two different numbers $\varepsilon_1$ and $\varepsilon_2$ are not used?

Published on 26 Oct 2020 - 9:18

score 27 · Answer 7 · 2020-10-27 00:01:37

27

Views

Order in which sets are constructed and epsilon-delta proofs

Published on 27 Oct 2020 - 0:01

score 153 · Answer 8 · 2020-10-27 20:09:39

153

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Limit Proofs Question

Published on 27 Oct 2020 - 20:09

score 73 · Answer 9 · 2020-10-28 16:34:33

73

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Proving a f is continuous at 1/3

Published on 28 Oct 2020 - 16:34

score 81 · Answer 10 · 2020-10-29 20:26:15

81

Views

Showing $\lim_{x\rightarrow0}\frac{1}{x^4}=\infty$ via $\epsilon$-$\delta$

Published on 29 Oct 2020 - 20:26

score 74 · Answer 11 · 2020-10-30 14:17:01

74

Views

$\varepsilon$-$\delta$ proof that $\lim_{x\to 0} \frac{{\cos}^2(x)-1}{x^4} = -\infty$

Published on 30 Oct 2020 - 14:17

score 79 · Answer 12 · 2026-03-30 08:59:30

79

Views

Lakatos on continuity and invariance to rotation

Published on 30 Mar 2026 - 8:59

score 201 · Answer 13 · 2020-10-31 15:26:36

201

Views

How do you prove the property that you can move limits in and out of continuous functions?

Published on 31 Oct 2020 - 15:26

score 42 · Answer 14 · 2026-03-25 14:26:09

42

Views

Inexistence of a finite $\frac{1}{2}$-net

Published on 25 Mar 2026 - 14:26

score 45 · Answer 15 · 2020-11-01 17:45:24

45

Views

Prove $f(x)=x^2+3x$ is Continuous at $x=a$

Published on 01 Nov 2020 - 17:45

List Question

Question regarding Thomae's function continuity proof

Continuity on an open interval and the epsilon-delta definition of continuity

In delta-epsilon proofs of the limit, why is $\delta$ sometime set to be a minimum of $1$ and some expression of $\epsilon$?

Proving the non existence of a multivariable limit.

Finding $\delta$ for a limit statement in terms of $\epsilon$

Spivak - a function cannot approach two different limits near a, why two different numbers $\varepsilon_1$ and $\varepsilon_2$ are not used?

Order in which sets are constructed and epsilon-delta proofs

Limit Proofs Question

Proving a f is continuous at 1/3

Showing $\lim_{x\rightarrow0}\frac{1}{x^4}=\infty$ via $\epsilon$-$\delta$

$\varepsilon$-$\delta$ proof that $\lim_{x\to 0} \frac{{\cos}^2(x)-1}{x^4} = -\infty$

Lakatos on continuity and invariance to rotation

How do you prove the property that you can move limits in and out of continuous functions?

Inexistence of a finite $\frac{1}{2}$-net

Prove $f(x)=x^2+3x$ is Continuous at $x=a$

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