Question

Guessing Epsilon in Mathematical Proofs Involving Limits

score 93 · Answer 1 · 2020-08-09 19:39:54

93

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Guessing Epsilon in Mathematical Proofs Involving Limits

Published on 09 Aug 2020 - 19:39

score 128 · Answer 2 · 2020-08-12 03:24:27

128

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$\forall n\in\mathbb{N}$, $a_n\not=0$, $\lim_{n\to\infty} a_n=0$. Find $\lim_{n\to\infty} \frac{\sqrt{3+a_n}-\sqrt{3}}{a_n}$

Published on 12 Aug 2020 - 3:24

score 39 · Answer 3 · 2020-08-13 13:10:36

39

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How many Cauchy epsilons are there for a given series?

Published on 13 Aug 2020 - 13:10

score 60 · Answer 4 · 2020-08-13 23:24:12

60

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Finding the smallest $n$ such that $\sqrt{n}(1 - \delta^2)^n < \epsilon$?

Published on 13 Aug 2020 - 23:24

score 43 · Answer 5 · 2020-08-14 07:47:50

43

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Prove by $\epsilon-\delta$ that as $x \to 3,\space 5x\to15$

Published on 14 Aug 2020 - 7:47

score 186 · Answer 6 · 2026-04-01 17:40:12

186

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Tolerance in x in Linear Programming

Published on 01 Apr 2026 - 17:40

score 33 · Answer 7 · 2020-08-15 20:51:32

33

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Write an epsilon delta proof for the expression $\lim_{x \to - \infty} (3x - 5) = - \infty$

Published on 15 Aug 2020 - 20:51

score 265 · Answer 8 · 2020-08-17 15:25:30

265

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Show that $f(x, y, z) = xy + z^2$ is continuous. $(\varepsilon, \delta)$

Published on 17 Aug 2020 - 15:25

score 443 · Answer 9 · 2020-08-17 15:34:05

443

Views

Logic of the precise definition of limits?

Published on 17 Aug 2020 - 15:34

score 190 · Answer 10 · 2020-08-18 06:32:56

190

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Prove $\lim_{x\to\infty} \frac{1}{x} = 1$ is false

Published on 18 Aug 2020 - 6:32

score 827 · Answer 11 · 2026-03-31 05:31:26

827

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Circular reasoning in proving $\lim_{x\to a}(\sin x) = \sin a$

Published on 31 Mar 2026 - 5:31

score 66 · Answer 12 · 2020-08-18 15:31:33

66

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Continuity of $f(x) = \|x\|$

Published on 18 Aug 2020 - 15:31

score 60 · Answer 13 · 2020-08-18 22:08:02

60

Views

Proof for continuity of $\sqrt{x}$ - where's my mistake?

Published on 18 Aug 2020 - 22:08

score 156 · Answer 14 · 2020-08-19 00:41:37

156

Views

Prove $\epsilon - \delta$ style that $\lim\limits_{x \rightarrow 2}x^2 \neq 6$ via contradiction

Published on 19 Aug 2020 - 0:41

score 80 · Answer 15 · 2020-08-22 12:09:02

80

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$\epsilon$ - $\delta$ proof for continuity of $ \lim_{x \to a} \sqrt{x}$ for $ a > 0 $

Published on 22 Aug 2020 - 12:09

List Question

Guessing Epsilon in Mathematical Proofs Involving Limits

$\forall n\in\mathbb{N}$, $a_n\not=0$, $\lim_{n\to\infty} a_n=0$. Find $\lim_{n\to\infty} \frac{\sqrt{3+a_n}-\sqrt{3}}{a_n}$

How many Cauchy epsilons are there for a given series?

Finding the smallest $n$ such that $\sqrt{n}(1 - \delta^2)^n < \epsilon$?

Prove by $\epsilon-\delta$ that as $x \to 3,\space 5x\to15$

Tolerance in x in Linear Programming

Write an epsilon delta proof for the expression $\lim_{x \to - \infty} (3x - 5) = - \infty$

Show that $f(x, y, z) = xy + z^2$ is continuous. $(\varepsilon, \delta)$

Logic of the precise definition of limits?

Prove $\lim_{x\to\infty} \frac{1}{x} = 1$ is false

Circular reasoning in proving $\lim_{x\to a}(\sin x) = \sin a$

Continuity of $f(x) = \|x\|$

Proof for continuity of $\sqrt{x}$ - where's my mistake?

Prove $\epsilon - \delta$ style that $\lim\limits_{x \rightarrow 2}x^2 \neq 6$ via contradiction

$\epsilon$ - $\delta$ proof for continuity of $ \lim_{x \to a} \sqrt{x}$ for $ a > 0 $

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