Question

$f(x) = (2x-1)/x^2$: proof of continuity using the epsilon-delta definition

score 70 · Answer 1 · 2021-12-10 17:41:46

70

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$f(x) = (2x-1)/x^2$: proof of continuity using the epsilon-delta definition

Published on 10 Dec 2021 - 17:41

score 35 · Answer 2 · 2021-12-12 18:16:38

35

Views

Fourier Transformation and Reverse FT of the delta function

Published on 12 Dec 2021 - 18:16

score 146 · Answer 3 · 2026-04-07 07:27:05

146

Views

Supremum, limit and limsup

Published on 07 Apr 2026 - 7:27

score 495 · Answer 4 · 2021-12-16 18:25:29

495

Views

The proof that if f(x) is continuous at x=c, then 1/f(x) is continuous at x=c

Published on 16 Dec 2021 - 18:25

score 4.4k · Answer 5 · 2021-12-17 06:35:26

4.4k

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Epsilon Delta definition of a Derivative

Published on 17 Dec 2021 - 6:35

score 1.4k · Answer 6 · 2021-12-17 16:14:25

1.4k

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For this limit $\lim_{x \to 5}{\sqrt{x-1}}=2$ find $ δ$

Published on 17 Dec 2021 - 16:14

score 426 · Answer 7 · 2021-12-17 18:52:40

426

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Show using $\epsilon - \delta$ definition of limit that $\lim_{x\to 1} -x^4 = -1$ and find the value of $\delta$.

Published on 17 Dec 2021 - 18:52

score 66 · Answer 8 · 2021-12-18 15:56:49

66

Views

Precise definition of a limit: Why is the delta chosen to be 1 and not \sqrt{2}-1

Published on 18 Dec 2021 - 15:56

score 46 · Answer 9 · 2021-12-19 03:55:02

46

Views

Can I replace the 'if' inside of the epsilon-delta definition of a limit with an 'if and only if'

Published on 19 Dec 2021 - 3:55

score 177 · Answer 10 · 2021-12-19 21:31:45

177

Views

What is the Epsilon Delta Algebraic Statement for limits at Infinity and Infinite Limits

Published on 19 Dec 2021 - 21:31

score 475 · Answer 11 · 2021-12-20 20:56:16

475

Views

Epsilon-Delta proof of an infinite limit

Published on 20 Dec 2021 - 20:56

score 62 · Answer 12 · 2021-12-21 18:49:08

62

Views

$\epsilon$-$\delta$ proof that $\lim_{x \to 0} \frac{1}{1+x} =1.$

Published on 21 Dec 2021 - 18:49

score 158 · Answer 13 · 2021-12-21 23:15:27

Why isn't the ε-δ definition $\mid f(x) - L\mid < ε \Rightarrow 0 < \mid x - a\mid < δ$? Why can't you reverse δ,ε in the implication?

score 96 · Answer 14 · 2021-12-22 22:14:22

96

Views

Is there a way to double check delta epsilon proof?

Published on 22 Dec 2021 - 22:14

score 482 · Answer 15 · 2021-12-23 14:20:00

482

Views

If $(a_k)_{k=1}^{\infty}$ converges to $a\in\mathbb{R}$, then $\lim\limits_{n\to\infty}\frac{1}{n}\sum\limits_{k=1}^{n}a_k=a$.

Published on 23 Dec 2021 - 14:20

List Question

$f(x) = (2x-1)/x^2$: proof of continuity using the epsilon-delta definition

Fourier Transformation and Reverse FT of the delta function

Supremum, limit and limsup

The proof that if f(x) is continuous at x=c, then 1/f(x) is continuous at x=c

Epsilon Delta definition of a Derivative

For this limit $\lim_{x \to 5}{\sqrt{x-1}}=2$ find $ δ$

Show using $\epsilon - \delta$ definition of limit that $\lim_{x\to 1} -x^4 = -1$ and find the value of $\delta$.

Precise definition of a limit: Why is the delta chosen to be 1 and not \sqrt{2}-1

Can I replace the 'if' inside of the epsilon-delta definition of a limit with an 'if and only if'

What is the Epsilon Delta Algebraic Statement for limits at Infinity and Infinite Limits

Epsilon-Delta proof of an infinite limit

$\epsilon$-$\delta$ proof that $\lim_{x \to 0} \frac{1}{1+x} =1.$

Why isn't the ε-δ definition $\mid f(x) - L\mid < ε \Rightarrow 0 < \mid x - a\mid < δ$? Why can't you reverse δ,ε in the implication?

Is there a way to double check delta epsilon proof?

If $(a_k)_{k=1}^{\infty}$ converges to $a\in\mathbb{R}$, then $\lim\limits_{n\to\infty}\frac{1}{n}\sum\limits_{k=1}^{n}a_k=a$.

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