Question

Switching quantifies for the definition of a limit.

score 158 · Answer 1 · 2021-04-07 21:23:54

158

Views

Switching quantifies for the definition of a limit.

Published on 07 Apr 2021 - 21:23

score 58 · Answer 2 · 2021-04-09 05:09:33

58

Views

Proving function is continuous in each variable separately using $\epsilon-\delta$

Published on 09 Apr 2021 - 5:09

score 137 · Answer 3 · 2021-04-09 06:19:47

137

Views

$\lim_{x \to 1} \frac{1}{x+2} = 1/3$ with $\varepsilon$-$\delta$ definition?

Published on 09 Apr 2021 - 6:19

score 109 · Answer 4 · 2021-04-11 16:35:24

109

Views

Show that $\lim_{x\to 0} \frac{g(x)}{\sqrt{x}}=2+\sqrt{2}$

Published on 11 Apr 2021 - 16:35

score 35 · Answer 5 · 2021-04-16 21:14:23

35

Views

$\lim_{n \to 0^+} \frac{n \theta(x)}{x^{1-n}}=\delta(x)?$ and $\lim_{n \to 0^-} \frac{n \theta(x)}{x^{1-n}}=?$

Published on 16 Apr 2021 - 21:14

score 77 · Answer 6 · 2021-04-20 02:16:38

77

Views

Prove/disprove this set of functions is equicontinuous

Published on 20 Apr 2021 - 2:16

score 59 · Answer 7 · 2021-04-20 11:27:39

59

Views

Prove that the $\epsilon$-$\delta$ definition of a limit is equivalent to this other definition

Published on 20 Apr 2021 - 11:27

score 174 · Answer 8 · 2021-04-20 19:04:33

174

Views

Proving $\lim\limits_{x\to0}{\frac{\sin(\frac{1}{x})}{\sin(\frac{1}{x})}}=1$

Published on 20 Apr 2021 - 19:04

score 520 · Answer 9 · 2021-04-24 03:50:53

520

Views

If $\lim_{x\to a} f(x) = L$, is the value of $L$ a function of $a$?

Published on 24 Apr 2021 - 3:50

score 229 · Answer 10 · 2021-04-24 08:37:29

229

Views

Product rule of differentiation in the multivariate case from first principles

Published on 24 Apr 2021 - 8:37

score 99 · Answer 11 · 2021-04-24 13:23:13

99

Views

How to find the product $\Pi_{n=1 }^\infty (1+x^{2n-1 })$?

Published on 24 Apr 2021 - 13:23

score 69 · Answer 12 · 2021-04-25 18:34:33

69

Views

Determine $\delta$ if $\varepsilon$ $=$ $0.06$ for $\lim_{x \to 1} (2 - 3x)$ $=$ $-1$

Published on 25 Apr 2021 - 18:34

score 1k · Answer 13 · 2021-04-26 23:52:09

1k

Views

Use the $\epsilon-\delta$ definition of the limit of a function to prove that $\lim_{x \to3}\frac{x}{x-2}=3$.

Published on 26 Apr 2021 - 23:52

score 35 · Answer 14 · 2026-02-25 21:57:11

35

Views

Limit Proof (Find Sufficiently Large N)

Published on 25 Feb 2026 - 21:57

score 150 · Answer 15 · 2021-04-27 16:59:39

150

Views

Is it possible to disprove continuity using $\epsilon -\delta$ approach?

Published on 27 Apr 2021 - 16:59

List Question

Switching quantifies for the definition of a limit.

Proving function is continuous in each variable separately using $\epsilon-\delta$

$\lim_{x \to 1} \frac{1}{x+2} = 1/3$ with $\varepsilon$-$\delta$ definition?

Show that $\lim_{x\to 0} \frac{g(x)}{\sqrt{x}}=2+\sqrt{2}$

$\lim_{n \to 0^+} \frac{n \theta(x)}{x^{1-n}}=\delta(x)?$ and $\lim_{n \to 0^-} \frac{n \theta(x)}{x^{1-n}}=?$

Prove/disprove this set of functions is equicontinuous

Prove that the $\epsilon$-$\delta$ definition of a limit is equivalent to this other definition

Proving $\lim\limits_{x\to0}{\frac{\sin(\frac{1}{x})}{\sin(\frac{1}{x})}}=1$

If $\lim_{x\to a} f(x) = L$, is the value of $L$ a function of $a$?

Product rule of differentiation in the multivariate case from first principles

How to find the product $\Pi_{n=1 }^\infty (1+x^{2n-1 })$?

Determine $\delta$ if $\varepsilon$ $=$ $0.06$ for $\lim_{x \to 1} (2 - 3x)$ $=$ $-1$

Use the $\epsilon-\delta$ definition of the limit of a function to prove that $\lim_{x \to3}\frac{x}{x-2}=3$.

Limit Proof (Find Sufficiently Large N)

Is it possible to disprove continuity using $\epsilon -\delta$ approach?

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