Question

epsilon delta limit proof verification of $\lim_{x\to2}{\frac{x-1}{x^2-1}} = \frac{1}{3} $.

score 446 · Answer 1 · 2018-08-26 20:44:03

446

Views

epsilon delta limit proof verification of $\lim_{x\to2}{\frac{x-1}{x^2-1}} = \frac{1}{3} $.

Published on 26 Aug 2018 - 20:44

score 1k · Answer 2 · 2018-08-29 03:59:21

1k

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Multivariable epsilon delta limit $f(x,y) = 3x + 4y $ as $(x,y) \to (1,2)$

Published on 29 Aug 2018 - 3:59

score 160 · Answer 3 · 2018-08-30 07:14:10

160

Views

I need a justification for epsilon delta definition of limit

Published on 30 Aug 2018 - 7:14

score 273 · Answer 4 · 2018-08-30 15:44:33

273

Views

Stuck with proving $\lim_{x\to 2} (x^2-3x)=-2$, using the $\epsilon, \delta$ deifnition

Published on 30 Aug 2018 - 15:44

score 275 · Answer 5 · 2018-08-30 21:20:03

275

Views

Using $\epsilon$-$\delta$ approach, prove that $\lim_{(x,y)\rightarrow (1,3)}\frac{x}{y}=\frac{1}{3} $

Published on 30 Aug 2018 - 21:20

score 758 · Answer 6 · 2018-08-31 02:11:49

758

Views

Prove that a function is not differentiable with $\epsilon - \delta$

Published on 31 Aug 2018 - 2:11

score 68 · Answer 7 · 2018-09-02 05:38:55

68

Views

Let $f:\Bbb R \to\Bbb R^3$ be a differentiable map with $\Vert f(x)\Vert=1$ for any $x \in\Bbb R$. Prove that $f'(x)\cdot f(x)=0.$

Published on 02 Sep 2018 - 5:38

score 96 · Answer 8 · 2018-09-06 20:20:20

96

Views

Prove that $\lim\limits_{s\to0^+}s^z=\lim\limits_{s\to 0^+} e^{z\ln s}=0$ where $z\in\mathbb C$ and $Re(z)>0$

Published on 06 Sep 2018 - 20:20

score 235 · Answer 9 · 2026-03-25 03:02:54

235

Views

Doubt about definition of infinite limit and limit as x tends to infinity

Published on 25 Mar 2026 - 3:02

score 62 · Answer 10 · 2018-09-10 12:59:46

62

Views

Showing continuity of $xy$ at all points

Published on 10 Sep 2018 - 12:59

score 738 · Answer 11 · 2018-09-11 15:41:56

738

Views

Proving that $f(x)=2x^2-1$ is continuous using the epsilon delta definition

Published on 11 Sep 2018 - 15:41

score 39 · Answer 12 · 2018-09-11 19:13:49

39

Views

Simple limit of a square as it approaches one.

Published on 11 Sep 2018 - 19:13

score 74 · Answer 13 · 2026-03-25 17:31:30

74

Views

Δ meaning in mathematics

Published on 25 Mar 2026 - 17:31

score 32 · Answer 14 · 2018-09-13 16:42:36

32

Views

Interpretation of a fundamental inequality

Published on 13 Sep 2018 - 16:42

score 214 · Answer 15 · 2018-09-14 15:48:42

214

Views

Verify epsilon-delta continuity for $\sqrt x, (x\ge 0)$ at $x=4$ and $x=100$

Published on 14 Sep 2018 - 15:48

List Question

epsilon delta limit proof verification of $\lim_{x\to2}{\frac{x-1}{x^2-1}} = \frac{1}{3} $.

Multivariable epsilon delta limit $f(x,y) = 3x + 4y $ as $(x,y) \to (1,2)$

I need a justification for epsilon delta definition of limit

Stuck with proving $\lim_{x\to 2} (x^2-3x)=-2$, using the $\epsilon, \delta$ deifnition

Using $\epsilon$-$\delta$ approach, prove that $\lim_{(x,y)\rightarrow (1,3)}\frac{x}{y}=\frac{1}{3} $

Prove that a function is not differentiable with $\epsilon - \delta$

Let $f:\Bbb R \to\Bbb R^3$ be a differentiable map with $\Vert f(x)\Vert=1$ for any $x \in\Bbb R$. Prove that $f'(x)\cdot f(x)=0.$

Prove that $\lim\limits_{s\to0^+}s^z=\lim\limits_{s\to 0^+} e^{z\ln s}=0$ where $z\in\mathbb C$ and $Re(z)>0$

Doubt about definition of infinite limit and limit as x tends to infinity

Showing continuity of $xy$ at all points

Proving that $f(x)=2x^2-1$ is continuous using the epsilon delta definition

Simple limit of a square as it approaches one.

Δ meaning in mathematics

Interpretation of a fundamental inequality

Verify epsilon-delta continuity for $\sqrt x, (x\ge 0)$ at $x=4$ and $x=100$

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