Question

Use of definition of limit to prove $\displaystyle\lim_{h→0} \dfrac{\sqrt[3]{2+h}- \sqrt[3] {2}} {h}= \dfrac {1}{ 3\cdot \sqrt[3]{4} }$

score 144 · Answer 1 · 2020-12-14 21:42:36

144

Views

Use of definition of limit to prove $\displaystyle\lim_{h→0} \dfrac{\sqrt[3]{2+h}- \sqrt[3] {2}} {h}= \dfrac {1}{ 3\cdot \sqrt[3]{4} }$

Published on 14 Dec 2020 - 21:42

score 89 · Answer 2 · 2026-02-23 18:41:45

89

Views

prove a non-strict inequality using the triangle inequality

Published on 23 Feb 2026 - 18:41

score 75 · Answer 3 · 2020-12-20 09:29:21

75

Views

prove that $\lim_{x \to 1^{-}}\frac{(x+2)}{2x^{2}-3x+1} = -\infty$

Published on 20 Dec 2020 - 9:29

score 62 · Answer 4 · 2020-12-20 11:49:29

62

Views

Prove $\lim\limits_{x\to -\infty} \frac{\cos(\tan x)}{x+1} = 0$ using definition

Published on 20 Dec 2020 - 11:49

score 65 · Answer 5 · 2020-12-21 10:52:51

65

Views

Show $f(x,y)=2x-\frac{7}{y}$ is continuous on the set $E=\{\,(x,y) \, : \, y>0 \, \}$

Published on 21 Dec 2020 - 10:52

score 290 · Answer 6 · 2020-12-25 16:08:35

290

Views

Rudin's Definition of the limit of a function confusion

Published on 25 Dec 2020 - 16:08

score 160 · Answer 7 · 2020-12-26 03:57:49

160

Views

Cannot find limit using epsilon delta definition

Published on 26 Dec 2020 - 3:57

score 189 · Answer 8 · 2020-12-29 05:23:25

189

Views

Multivariable limits using $\epsilon-\delta$ definition.

Published on 29 Dec 2020 - 5:23

score 818 · Answer 9 · 2020-12-31 21:09:47

818

Views

Is this proof of, that there is no limit of lim 1/x as x approaches 0, correct?

Published on 31 Dec 2020 - 21:09

score 52 · Answer 10 · 2021-01-02 12:24:26

52

Views

Can this proof be used, to proof that there is no $l$, unless $a=0$, for $f\left( x\right)=x$, if $x$ is r., and $f\left( x\right)=-x$, if $x$ is ir.

Published on 02 Jan 2021 - 12:24

score 68 · Answer 11 · 2021-01-04 11:00:15

68

Views

How to find the $\delta$ for some $\varepsilon$ such that: $|x-0| < \delta \Rightarrow |g(x)-g(0)|<\varepsilon$

Published on 04 Jan 2021 - 11:00

score 46 · Answer 12 · 2021-01-05 21:24:23

46

Views

A question on limits using the epsilon-delta definition

Published on 05 Jan 2021 - 21:24

score 65 · Answer 13 · 2021-01-11 19:58:15

65

Views

$ \int_a^b (cf)(x)dx=c\int_a^b f(x)dx$ - $\varepsilon-\delta$ proof.

Published on 11 Jan 2021 - 19:58

score 76 · Answer 14 · 2021-01-11 21:53:54

76

Views

Proof for Spivak 7-13b.

Published on 11 Jan 2021 - 21:53

score 486 · Answer 15 · 2026-02-23 18:43:25

486

Views

Prove that $(x^2+2x+1)$ is continuous by using a $\epsilon$ - $\delta$ argument

Published on 23 Feb 2026 - 18:43

List Question

Use of definition of limit to prove $\displaystyle\lim_{h→0} \dfrac{\sqrt[3]{2+h}- \sqrt[3] {2}} {h}= \dfrac {1}{ 3\cdot \sqrt[3]{4} }$

prove a non-strict inequality using the triangle inequality

prove that $\lim_{x \to 1^{-}}\frac{(x+2)}{2x^{2}-3x+1} = -\infty$

Prove $\lim\limits_{x\to -\infty} \frac{\cos(\tan x)}{x+1} = 0$ using definition

Show $f(x,y)=2x-\frac{7}{y}$ is continuous on the set $E=\{\,(x,y) \, : \, y>0 \, \}$

Rudin's Definition of the limit of a function confusion

Cannot find limit using epsilon delta definition

Multivariable limits using $\epsilon-\delta$ definition.

Is this proof of, that there is no limit of lim 1/x as x approaches 0, correct?

Can this proof be used, to proof that there is no $l$, unless $a=0$, for $f\left( x\right)=x$, if $x$ is r., and $f\left( x\right)=-x$, if $x$ is ir.

How to find the $\delta$ for some $\varepsilon$ such that: $|x-0| < \delta \Rightarrow |g(x)-g(0)|<\varepsilon$

A question on limits using the epsilon-delta definition

$ \int_a^b (cf)(x)dx=c\int_a^b f(x)dx$ - $\varepsilon-\delta$ proof.

Proof for Spivak 7-13b.

Prove that $(x^2+2x+1)$ is continuous by using a $\epsilon$ - $\delta$ argument

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