Question

Is this epsilon-delta proof sufficient?

score 264 · Answer 1 · 2022-08-27 18:41:20

264

Views

Is this epsilon-delta proof sufficient?

Published on 27 Aug 2022 - 18:41

score 57 · Answer 2 · 2026-04-08 16:40:02

57

Views

Help understanding epsilon definition of supremum

Published on 08 Apr 2026 - 16:40

score 59 · Answer 3 · 2026-03-29 11:06:51

59

Views

Does the basin of attraction of an asymptotically stable steady state always have strictly positive Lebesgue measure?

Published on 29 Mar 2026 - 11:06

score 147 · Answer 4 · 2022-08-31 02:00:44

147

Views

Show that a multivariate function is continuous at (0,0)

Published on 31 Aug 2022 - 2:00

score 53 · Answer 5 · 2022-09-02 17:56:27

53

Views

For a given function $f$ and $\varepsilon = 1$, find $\delta$ such that $0<|x-3|<\delta$ implies $|f(x) - 4| < \varepsilon$

Published on 02 Sep 2022 - 17:56

score 500 · Answer 6 · 2022-09-03 02:22:13

500

Views

Original source of "precise" ε-δ (epsilon-delta) formal definition of a limit?

Published on 03 Sep 2022 - 2:22

score 47 · Answer 7 · 2022-09-06 06:31:51

47

Views

Prove that $(4-\frac{1}{n^4})(-\frac{1}{3})^n$ converges to zero using $\epsilon$-$n$ definition

Published on 06 Sep 2022 - 6:31

score 460 · Answer 8 · 2026-02-24 06:50:30

460

Views

Prove $f: X \to \mathbb{R}_{\geq 0}$ where $f(x) = d(x, x_o)$ is a continuous function

Published on 24 Feb 2026 - 6:50

score 43 · Answer 9 · 2022-09-10 09:26:25

43

Views

Using Epsilon Delta to prove that for a continuous odd function, f(0)=0

Published on 10 Sep 2022 - 9:26

score 325 · Answer 10 · 2022-09-11 03:20:31

325

Views

Prove limits using epsilon-delta proof

Published on 11 Sep 2022 - 3:20

score 41 · Answer 11 · 2022-09-14 11:06:38

41

Views

Prove limit of f(x)=x+a using epsilon-delta definition

Published on 14 Sep 2022 - 11:06

score 115 · Answer 12 · 2022-09-18 16:18:55

115

Views

Using $\varepsilon$-$\delta$, prove that $\lim\limits_{(x,y) \rightarrow (3,2)} (xy^2+\frac{3}{x})=13$

Published on 18 Sep 2022 - 16:18

score 93 · Answer 13 · 2026-04-07 22:30:19

93

Views

How to use the $\varepsilon$-$\delta$ definition.

Published on 07 Apr 2026 - 22:30

score 124 · Answer 14 · 2026-02-24 01:39:08

124

Views

How do we use the epsilon-delta notations in the context of a limit of a sequence of sets?

Published on 24 Feb 2026 - 1:39

score 50 · Answer 15 · 2022-09-25 21:18:31

50

Views

An example of a sequence of rational numbers converging to an irrational number using the $\varepsilon-N$ definition.

Published on 25 Sep 2022 - 21:18

List Question

Is this epsilon-delta proof sufficient?

Help understanding epsilon definition of supremum

Does the basin of attraction of an asymptotically stable steady state always have strictly positive Lebesgue measure?

Show that a multivariate function is continuous at (0,0)

For a given function $f$ and $\varepsilon = 1$, find $\delta$ such that $0<|x-3|<\delta$ implies $|f(x) - 4| < \varepsilon$

Original source of "precise" ε-δ (epsilon-delta) formal definition of a limit?

Prove that $(4-\frac{1}{n^4})(-\frac{1}{3})^n$ converges to zero using $\epsilon$-$n$ definition

Prove $f: X \to \mathbb{R}_{\geq 0}$ where $f(x) = d(x, x_o)$ is a continuous function

Using Epsilon Delta to prove that for a continuous odd function, f(0)=0

Prove limits using epsilon-delta proof

Prove limit of f(x)=x+a using epsilon-delta definition

Using $\varepsilon$-$\delta$, prove that $\lim\limits_{(x,y) \rightarrow (3,2)} (xy^2+\frac{3}{x})=13$

How to use the $\varepsilon$-$\delta$ definition.

How do we use the epsilon-delta notations in the context of a limit of a sequence of sets?

An example of a sequence of rational numbers converging to an irrational number using the $\varepsilon-N$ definition.

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