Question

Show that $\lim_{x\to 4} \sqrt{x} = 2$ using $\epsilon$-$\delta$ definition of limit.

score 156 · Answer 1 · 2024-02-15 18:12:55

156

Views

Show that $\lim_{x\to 4} \sqrt{x} = 2$ using $\epsilon$-$\delta$ definition of limit.

Published on 15 Feb 2024 - 18:12

score 52 · Answer 2 · 2024-02-15 18:28:02

52

Views

Show the values of $x$ such that $g$ is continuous.

Published on 15 Feb 2024 - 18:28

score 61 · Answer 3 · 2024-02-16 10:53:41

61

Views

Show discontinuity with $\epsilon-\delta$

Published on 16 Feb 2024 - 10:53

score 109 · Answer 4 · 2024-02-17 14:55:35

109

Views

For $a>1$ and a fixed $N$ does $\sum\limits_{n=1}^\infty \prod\limits_{k=0}^{n-1} \left(1- \frac{a}{a+N +k} \right)$ converge?

Published on 17 Feb 2024 - 14:55

score 38 · Answer 5 · 2024-02-19 09:36:19

38

Views

Epsilon proof verification

Published on 19 Feb 2024 - 9:36

score 62 · Answer 6 · 2024-02-19 11:16:59

62

Views

Determining limit of multivariable function $ \lim\limits_{(x,y)\rightarrow(\pi,\frac{\pi}{2})} \frac{\cos(y)-\sin(2y)}{\cos(x)\cos(y)}$

Published on 19 Feb 2024 - 11:16

score 165 · Answer 7 · 2024-02-19 18:18:26

165

Views

$\epsilon$-$\delta$ proof, finding $\delta$

Published on 19 Feb 2024 - 18:18

score 210 · Answer 8 · 2024-02-21 18:27:25

210

Views

Proving a function isn't bounded

Published on 21 Feb 2024 - 18:27

score 44 · Answer 9 · 2024-02-21 20:30:36

44

Views

Proving descontinuity of a function with $\varepsilon - \delta$ definition

Published on 21 Feb 2024 - 20:30

score 55 · Answer 10 · 2024-02-22 14:00:41

55

Views

Epsilon delta proof with log and sin

Published on 22 Feb 2024 - 14:00

score 115 · Answer 11 · 2024-02-26 03:46:36

115

Views

$\lim_{x\to 1} \sqrt{x^2 + 8} = 3$ -- Proof Via Epsilon-Delta Definition of a Limit

Published on 26 Feb 2024 - 3:46

score 54 · Answer 12 · 2024-02-28 03:59:03

54

Views

If $f(0)=f(1)=0$ and for every $x\in (0,1)$ exists $0<\delta \inf\{x,1− x\}$ with $f(x)=\frac{f(x−\delta)+f(x+\delta)}2$. How to show that $f(x)=0$?

Published on 28 Feb 2024 - 3:59

score 82 · Answer 13 · 2024-02-29 21:17:12

82

Views

Proving $\lim_{x\to 0} \frac{e^x -1}{x} =1$ using epsilon delta and the continuity of $e^x$ at $0$

Published on 29 Feb 2024 - 21:17

score 38 · Answer 14 · 2024-02-29 22:00:07

38

Views

Proof of L'Hospital's Rule, Part 2

Published on 29 Feb 2024 - 22:00

score 46 · Answer 15 · 2024-03-01 15:04:27

46

Views

Proof of L'Hospital's Rule, Part 2 - Question about inequality

Published on 01 Mar 2024 - 15:04

List Question

Show that $\lim_{x\to 4} \sqrt{x} = 2$ using $\epsilon$-$\delta$ definition of limit.

Show the values of $x$ such that $g$ is continuous.

Show discontinuity with $\epsilon-\delta$

For $a>1$ and a fixed $N$ does $\sum\limits_{n=1}^\infty \prod\limits_{k=0}^{n-1} \left(1- \frac{a}{a+N +k} \right)$ converge?

Epsilon proof verification

Determining limit of multivariable function $ \lim\limits_{(x,y)\rightarrow(\pi,\frac{\pi}{2})} \frac{\cos(y)-\sin(2y)}{\cos(x)\cos(y)}$

$\epsilon$-$\delta$ proof, finding $\delta$

Proving a function isn't bounded

Proving descontinuity of a function with $\varepsilon - \delta$ definition

Epsilon delta proof with log and sin

$\lim_{x\to 1} \sqrt{x^2 + 8} = 3$ -- Proof Via Epsilon-Delta Definition of a Limit

If $f(0)=f(1)=0$ and for every $x\in (0,1)$ exists $0<\delta \inf\{x,1− x\}$ with $f(x)=\frac{f(x−\delta)+f(x+\delta)}2$. How to show that $f(x)=0$?

Proving $\lim_{x\to 0} \frac{e^x -1}{x} =1$ using epsilon delta and the continuity of $e^x$ at $0$

Proof of L'Hospital's Rule, Part 2

Proof of L'Hospital's Rule, Part 2 - Question about inequality

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