Question

How do you prove this limit: $\lim_{x \to 4} \sqrt{x} = 2$?

score 58 · Answer 1 · 2015-10-12 22:12:08

58

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How do you prove this limit: $\lim_{x \to 4} \sqrt{x} = 2$?

Published on 12 Oct 2015 - 22:12

score 49 · Answer 2 · 2026-03-30 23:46:07

49

Views

Show (with epsilón - delta) that $\lim_{x -> \infty}(\sqrt{n^2+n}-n)=\frac{1}{2}$

Published on 30 Mar 2026 - 23:46

score 457 · Answer 3 · 2015-10-14 20:44:09

457

Views

Delta-epsilon proof of $\lim_{x\rightarrow\infty} \frac{x}{x+1} = 1$

Published on 14 Oct 2015 - 20:44

score 354 · Answer 4 · 2026-03-30 04:59:09

354

Views

$\epsilon-\delta$ proof for the convergence of the sequence $\cos(1/n^2)$

Published on 30 Mar 2026 - 4:59

score 2.7k · Answer 5 · 2026-03-18 23:49:23

2.7k

Views

How do I prove the sequence $s_{n}=\sqrt{n}$ diverges?

Published on 18 Mar 2026 - 23:49

score 313 · Answer 6 · 2015-10-15 15:57:53

313

Views

proving the limit of a function using the $\epsilon , \delta $ definition

Published on 15 Oct 2015 - 15:57

score 232 · Answer 7 · 2015-10-15 16:58:36

232

Views

Find $\delta$ to achieve $|4x-8| < \epsilon$ when $|x-2| < \delta$

Published on 15 Oct 2015 - 16:58

score 680 · Answer 8 · 2015-10-15 23:36:38

680

Views

Proof for a limit using epsilon-delta proof and squeeze theorem

Published on 15 Oct 2015 - 23:36

score 401 · Answer 9 · 2015-10-18 06:16:07

401

Views

Does there exist an epsilon-delta proof of the limit for all polynomials?

Published on 18 Oct 2015 - 6:16

score 65 · Answer 10 · 2015-10-20 01:55:18

65

Views

Confusion of proving limits

Published on 20 Oct 2015 - 1:55

score 123 · Answer 11 · 2015-10-20 03:52:56

123

Views

If $\lim_{x\rightarrow\infty}f(f(x))=\infty$, $f:(-\infty,\infty)\rightarrow\mathbb{R}$ is continuous, prove $\lim_{x\rightarrow\infty}|f(x)|=\infty$

Published on 20 Oct 2015 - 3:52

score 1.5k · Answer 12 · 2026-04-01 20:04:59

1.5k

Views

How to make sense out of the $\epsilon-\delta$ definition of a limit?

Published on 01 Apr 2026 - 20:04

score 55 · Answer 13 · 2015-10-21 00:36:12

55

Views

Prove a limit exists, and find the answer

Published on 21 Oct 2015 - 0:36

score 230 · Answer 14 · 2015-10-22 02:18:28

230

Views

Epsilon-n proof confusion

Published on 22 Oct 2015 - 2:18

score 117 · Answer 15 · 2015-10-22 13:19:30

117

Views

Proving limit of functions involving neighborhoods

Published on 22 Oct 2015 - 13:19

List Question

How do you prove this limit: $\lim_{x \to 4} \sqrt{x} = 2$?

Show (with epsilón - delta) that $\lim_{x -> \infty}(\sqrt{n^2+n}-n)=\frac{1}{2}$

Delta-epsilon proof of $\lim_{x\rightarrow\infty} \frac{x}{x+1} = 1$

$\epsilon-\delta$ proof for the convergence of the sequence $\cos(1/n^2)$

How do I prove the sequence $s_{n}=\sqrt{n}$ diverges?

proving the limit of a function using the $\epsilon , \delta $ definition

Find $\delta$ to achieve $|4x-8| < \epsilon$ when $|x-2| < \delta$

Proof for a limit using epsilon-delta proof and squeeze theorem

Does there exist an epsilon-delta proof of the limit for all polynomials?

Confusion of proving limits

If $\lim_{x\rightarrow\infty}f(f(x))=\infty$, $f:(-\infty,\infty)\rightarrow\mathbb{R}$ is continuous, prove $\lim_{x\rightarrow\infty}|f(x)|=\infty$

How to make sense out of the $\epsilon-\delta$ definition of a limit?

Prove a limit exists, and find the answer

Epsilon-n proof confusion

Proving limit of functions involving neighborhoods

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