Question

Why doesn't derivative difference quotient violate the epsilon-delta definition of a limit?

score 3.4k · Answer 1 · 2016-06-21 06:06:45

3.4k

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Why doesn't derivative difference quotient violate the epsilon-delta definition of a limit?

Published on 21 Jun 2016 - 6:06

score 3.4k · Answer 2 · 2016-06-21 14:33:48

3.4k

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How do you determine what $\epsilon$ to use?

Published on 21 Jun 2016 - 14:33

score 3k · Answer 3 · 2016-06-21 16:54:08

Prove if $f(x)$ and $g(x)$ is continuous, then $f(x) + g(x)$ is also continuous using the $\epsilon - \delta$ definition of limits

score 62 · Answer 4 · 2016-06-22 12:35:21

62

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Proving the set $E(f) = \{(x,y,z)\in\mathbb{R}^3 \ | \ z > f(x,y) \}$ is open if $f$ is continuous.

Published on 22 Jun 2016 - 12:35

score 126 · Answer 5 · 2016-06-23 03:20:44

126

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Find the largest possible radius for $S=[1,4) \cup (4,9]$

Published on 23 Jun 2016 - 3:20

score 1k · Answer 6 · 2026-03-29 21:58:17

1k

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Is a limit a formalized infinitesimal?

Published on 29 Mar 2026 - 21:58

score 8.8k · Answer 7 · 2026-03-29 03:28:08

8.8k

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What is the use of hyperreal numbers?

Published on 29 Mar 2026 - 3:28

score 57 · Answer 8 · 2016-06-24 21:41:53

57

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How am I to understand this notation with regards to bdS and the int S? $S=\bigcap_{n=1}^{\infty}\left(-\infty,7+\frac{1}{n}\right]$

Published on 24 Jun 2016 - 21:41

score 1.7k · Answer 9 · 2016-06-27 19:32:42

1.7k

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Prove that $\lim_{(x,y)\to(1,1)} \frac {x}{y}=1$ by epsilon delta

Published on 27 Jun 2016 - 19:32

score 20.5k · Answer 10 · 2016-06-27 19:40:40

20.5k

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Finding Delta Algebraically for a Given Epsilon?

Published on 27 Jun 2016 - 19:40

score 253 · Answer 11 · 2016-06-29 20:39:18

253

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Let $f(x) = 5x+9$. Show that $\lim \limits_{x \to -3}f(x)=-6$

Published on 29 Jun 2016 - 20:39

score 186 · Answer 12 · 2016-07-01 17:27:29

186

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Prove that $\lim \limits_{x \to 5}\left(4x^2-7\right)=93$

Published on 01 Jul 2016 - 17:27

score 159 · Answer 13 · 2016-07-02 20:04:04

159

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Prove using the epsilon definition

Published on 02 Jul 2016 - 20:04

score 88 · Answer 14 · 2016-07-04 21:44:48

88

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Proof that $1/f(x)$ is bounded

Published on 04 Jul 2016 - 21:44

score 500 · Answer 15 · 2013-04-18 20:37:11

500

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Finding supremum of all $\delta > 0$ for the $(\epsilon , \delta)$-definition of $\lim_{x \to 2} x^3 + 3x^2 -x + 1$

Published on 18 Apr 2013 - 20:37

List Question

Why doesn't derivative difference quotient violate the epsilon-delta definition of a limit?

How do you determine what $\epsilon$ to use?

Prove if $f(x)$ and $g(x)$ is continuous, then $f(x) + g(x)$ is also continuous using the $\epsilon - \delta$ definition of limits

Proving the set $E(f) = \{(x,y,z)\in\mathbb{R}^3 \ | \ z > f(x,y) \}$ is open if $f$ is continuous.

Find the largest possible radius for $S=[1,4) \cup (4,9]$

Is a limit a formalized infinitesimal?

What is the use of hyperreal numbers?

How am I to understand this notation with regards to bdS and the int S? $S=\bigcap_{n=1}^{\infty}\left(-\infty,7+\frac{1}{n}\right]$

Prove that $\lim_{(x,y)\to(1,1)} \frac {x}{y}=1$ by epsilon delta

Finding Delta Algebraically for a Given Epsilon?

Let $f(x) = 5x+9$. Show that $\lim \limits_{x \to -3}f(x)=-6$

Prove that $\lim \limits_{x \to 5}\left(4x^2-7\right)=93$

Prove using the epsilon definition

Proof that $1/f(x)$ is bounded

Finding supremum of all $\delta > 0$ for the $(\epsilon , \delta)$-definition of $\lim_{x \to 2} x^3 + 3x^2 -x + 1$

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