Question

Find delta with a given epsilon for $\lim_{x\to-2}x^3 = - 8$

score 7.4k · Answer 1 · 2012-09-19 06:43:04

7.4k

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Find delta with a given epsilon for $\lim_{x\to-2}x^3 = - 8$

Published on 19 Sep 2012 - 6:43

score 5.1k · Answer 2 · 2012-09-24 03:28:40

5.1k

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Prove $\lim_{x\to0}\sqrt{4-x}=2$ using the precise definition of limits. (Epsilon-Delta)

Published on 24 Sep 2012 - 3:28

score 20.2k · Answer 3 · 2012-10-13 21:52:43

20.2k

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Prove that the sequence $(n+2)/(3n^2 - 1)$ converges to the limit $0$

Published on 13 Oct 2012 - 21:52

score 133 · Answer 4 · 2012-12-28 08:03:02

133

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What is $\lim_{(x,y)\to(0,0)}\frac{\mathrm{e}^{xy}-1}{x+y}$, using the $\varepsilon$-$\delta$ definition

Published on 28 Dec 2012 - 8:03

score 13.7k · Answer 5 · 2013-01-09 16:58:56

13.7k

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$\epsilon$-$\delta$ proof that $f(x) = x \sin(1/x)$, $x \ne 0$, is continuous

Published on 09 Jan 2013 - 16:58

score 27.8k · Answer 6 · 2013-02-21 22:05:03

27.8k

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epsilon-delta proof of $\lim_{x \to 4} \sqrt{x} = 2$

Published on 21 Feb 2013 - 22:05

score 9k · Answer 7 · 2013-03-14 13:47:58

9k

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Prove that $\lim_{x\to 2}x^2=4$ using $\epsilon-\delta$ definition.

Published on 14 Mar 2013 - 13:47

score 39.1k · Answer 8 · 2013-03-15 18:42:52

39.1k

Views

The epsilon-delta definition of continuity

Published on 15 Mar 2013 - 18:42

score 236 · Answer 9 · 2013-03-23 17:34:31

236

Views

Use the $\varepsilon$ - $\delta$ definition to prove $\lim_{x\to\,-1}\frac{x}{2x+1}=1$

Published on 23 Mar 2013 - 17:34

score 77 · Answer 10 · 2020-08-02 07:21:02

77

Views

Confusion on proof of limit laws epsilon delta

Published on 02 Aug 2020 - 7:21

score 63 · Answer 11 · 2020-08-02 12:14:37

63

Views

Comparing arbitrary small $\epsilon>0$ with taking the limit

Published on 02 Aug 2020 - 12:14

score 79 · Answer 12 · 2020-08-04 17:39:08

79

Views

One sided limits with $f(x)$ instead of $x$

Published on 04 Aug 2020 - 17:39

score 1.1k · Answer 13 · 2020-08-05 18:50:11

1.1k

Views

Prove $\lim_{z \to 0} \frac{z}{\overline{z}}$ doesn't exist using $\varepsilon-\delta$.

Published on 05 Aug 2020 - 18:50

score 67 · Answer 14 · 2020-08-06 11:55:33

67

Views

Epsilon delta for infinite limits

Published on 06 Aug 2020 - 11:55

score 52 · Answer 15 · 2020-08-07 08:56:21

52

Views

Real analysis (probably easy) limit problem, restricting $\delta$.

Published on 07 Aug 2020 - 8:56

List Question

Find delta with a given epsilon for $\lim_{x\to-2}x^3 = - 8$

Prove $\lim_{x\to0}\sqrt{4-x}=2$ using the precise definition of limits. (Epsilon-Delta)

Prove that the sequence $(n+2)/(3n^2 - 1)$ converges to the limit $0$

What is $\lim_{(x,y)\to(0,0)}\frac{\mathrm{e}^{xy}-1}{x+y}$, using the $\varepsilon$-$\delta$ definition

$\epsilon$-$\delta$ proof that $f(x) = x \sin(1/x)$, $x \ne 0$, is continuous

epsilon-delta proof of $\lim_{x \to 4} \sqrt{x} = 2$

Prove that $\lim_{x\to 2}x^2=4$ using $\epsilon-\delta$ definition.

The epsilon-delta definition of continuity

Use the $\varepsilon$ - $\delta$ definition to prove $\lim_{x\to\,-1}\frac{x}{2x+1}=1$

Confusion on proof of limit laws epsilon delta

Comparing arbitrary small $\epsilon>0$ with taking the limit

One sided limits with $f(x)$ instead of $x$

Prove $\lim_{z \to 0} \frac{z}{\overline{z}}$ doesn't exist using $\varepsilon-\delta$.

Epsilon delta for infinite limits

Real analysis (probably easy) limit problem, restricting $\delta$.

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