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Question on delta-epsilon proof nested absolute value

score 319 · Answer 1 · 2017-02-27 15:58:06

319

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Question on delta-epsilon proof nested absolute value

Published on 27 Feb 2017 - 15:58

score 281 · Answer 2 · 2017-02-27 19:10:49

281

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Choosing a delta for the function f(x) = x^2

Published on 27 Feb 2017 - 19:10

score 456 · Answer 3 · 2017-02-27 19:46:16

456

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ε-δ: Proving that $\lim_{x\rightarrow a}f(x) = \lim_{h\rightarrow 0} f(a+h) $

Published on 27 Feb 2017 - 19:46

score 1.2k · Answer 4 · 2017-02-28 06:14:42

1.2k

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Proving that function is bounded when its continous and its limits at infinity are bounded.

Published on 28 Feb 2017 - 6:14

score 46 · Answer 5 · 2017-02-28 10:57:50

46

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Prove a relation between functions from an inequality relating limits

Published on 28 Feb 2017 - 10:57

score 310 · Answer 6 · 2017-03-02 07:52:35

310

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Prove that $f(x,y) =\frac{x^3-xy^2}{x^2+y^2}$ if $(x,y) \neq (0,0)$ and $f(0,0)=0$, is continuous in $\Bbb R^2$

Published on 02 Mar 2017 - 7:52

score 225 · Answer 7 · 2017-03-02 14:18:34

225

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Using the Epsilon-Delta definition of a limit

Published on 02 Mar 2017 - 14:18

score 65 · Answer 8 · 2026-03-30 15:36:44

65

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Assuming $\delta < 1$ in uniform continuity proof

Published on 30 Mar 2026 - 15:36

score 2.6k · Answer 9 · 2017-03-03 21:57:09

2.6k

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How to prove complex-valued $\lim\limits_{z\to i}\left(\frac{iz^3 - 1}{z + i}\right) = 0$ via epsilon$-$delta definition?

Published on 03 Mar 2017 - 21:57

score 318 · Answer 10 · 2017-03-05 22:12:43

318

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Limit of $x[3-\cos(x^2)]$ using the epsilon-delta definition of a limit

Published on 05 Mar 2017 - 22:12

score 67 · Answer 11 · 2017-03-06 21:07:53

67

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Proving $\lim \limits_{n \to \infty} n^{-\frac{1}{5}} = 0$ formally using $\delta - \epsilon$

Published on 06 Mar 2017 - 21:07

score 228 · Answer 12 · 2017-03-07 07:06:18

228

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Intuition for continuity in $\Bbb R^n$

Published on 07 Mar 2017 - 7:06

score 105 · Answer 13 · 2017-03-08 22:25:13

105

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Prove the seq $\{\frac{x^4-1}{x^4+x-6}\}$ converges and prove using $N-\epsilon$ proof

Published on 08 Mar 2017 - 22:25

score 1.1k · Answer 14 · 2017-03-11 11:45:13

1.1k

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Can we prove 0.999...=1 by infinite geometric series?

Published on 11 Mar 2017 - 11:45

score 27 · Answer 15 · 2026-03-29 06:55:36

27

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Calc of delta in computer

Published on 29 Mar 2026 - 6:55

List Question

Question on delta-epsilon proof nested absolute value

Choosing a delta for the function f(x) = x^2

ε-δ: Proving that $\lim_{x\rightarrow a}f(x) = \lim_{h\rightarrow 0} f(a+h) $

Proving that function is bounded when its continous and its limits at infinity are bounded.

Prove a relation between functions from an inequality relating limits

Prove that $f(x,y) =\frac{x^3-xy^2}{x^2+y^2}$ if $(x,y) \neq (0,0)$ and $f(0,0)=0$, is continuous in $\Bbb R^2$

Using the Epsilon-Delta definition of a limit

Assuming $\delta < 1$ in uniform continuity proof

How to prove complex-valued $\lim\limits_{z\to i}\left(\frac{iz^3 - 1}{z + i}\right) = 0$ via epsilon$-$delta definition?

Limit of $x[3-\cos(x^2)]$ using the epsilon-delta definition of a limit

Proving $\lim \limits_{n \to \infty} n^{-\frac{1}{5}} = 0$ formally using $\delta - \epsilon$

Intuition for continuity in $\Bbb R^n$

Prove the seq $\{\frac{x^4-1}{x^4+x-6}\}$ converges and prove using $N-\epsilon$ proof

Can we prove 0.999...=1 by infinite geometric series?

Calc of delta in computer

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