Question

Understanding the $\varepsilon-\delta$ proof of $\underset{x\to 3}{\lim}{f(x)}=9$ with $f(x)=x^2$

score 66 · Answer 1 · 2017-10-18 22:26:48

66

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Understanding the $\varepsilon-\delta$ proof of $\underset{x\to 3}{\lim}{f(x)}=9$ with $f(x)=x^2$

Published on 18 Oct 2017 - 22:26

score 260 · Answer 2 · 2017-10-19 03:45:11

260

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formal definition of lim x->c+ f(x) = ∞

Published on 19 Oct 2017 - 3:45

score 159 · Answer 3 · 2017-10-19 20:28:06

159

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Why do we not use $|f(x)-L|< \epsilon \text{ then } 0<|x-a|< \delta$ in the definition of limit?

Published on 19 Oct 2017 - 20:28

score 851 · Answer 4 · 2017-10-20 13:56:13

851

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Epsilon delta proof $\lim_{x\to 3}\sqrt{3-x}=0$

Published on 20 Oct 2017 - 13:56

score 1.4k · Answer 5 · 2017-10-21 17:08:05

1.4k

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Epsilon delta proofs for expressions with polynomial and exponential functions

Published on 21 Oct 2017 - 17:08

score 110 · Answer 6 · 2017-10-22 00:41:28

110

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Proving $\lim\limits_{x\to a}\frac{1}{x^2-2x}\sin\left(\frac{1}{x}-\frac{1}{x-2}\right)$ does not exist at $a=0,2$

Published on 22 Oct 2017 - 0:41

score 162 · Answer 7 · 2017-10-22 15:21:13

162

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Limit definition (2 variables)

Published on 22 Oct 2017 - 15:21

score 48 · Answer 8 · 2017-10-22 17:27:13

48

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Definition of limit (2 variables)

Published on 22 Oct 2017 - 17:27

score 114 · Answer 9 · 2017-10-23 14:56:49

114

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Using the definition of $\lim_{x\to a} f(x) = \infty$ , prove that $\lim_{x\to 0} \frac{4x+\sqrt{5}}{2x^3+x^2} = \infty$

Published on 23 Oct 2017 - 14:56

score 4k · Answer 10 · 2017-10-24 22:54:47

4k

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Proving that the inverse of a bijective continuous function is continuous

Published on 24 Oct 2017 - 22:54

score 402 · Answer 11 · 2017-10-25 06:23:52

402

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Epsilon-Delta proof for a limit of a function

Published on 25 Oct 2017 - 6:23

score 40 · Answer 12 · 2017-10-25 13:03:33

40

Views

Proof that a limit of $x$ goes to $a$ exists for every real $a$.

Published on 25 Oct 2017 - 13:03

score 44 · Answer 13 · 2017-10-25 16:50:29

44

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Prove using the formal definition of a limit that $\lim_{x\to 0}\frac{3x+\sqrt 7}{x^3 + x^2}=\infty$

Published on 25 Oct 2017 - 16:50

score 301 · Answer 14 · 2017-10-25 19:23:23

301

Views

Proving Limit of Rational Function with Quadratic Numerator and Radical Denominator

Published on 25 Oct 2017 - 19:23

score 63 · Answer 15 · 2017-10-25 23:22:37

63

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Having trouble with limit by definition proof

Published on 25 Oct 2017 - 23:22

List Question

Understanding the $\varepsilon-\delta$ proof of $\underset{x\to 3}{\lim}{f(x)}=9$ with $f(x)=x^2$

formal definition of lim x->c+ f(x) = ∞

Why do we not use $|f(x)-L|< \epsilon \text{ then } 0<|x-a|< \delta$ in the definition of limit?

Epsilon delta proof $\lim_{x\to 3}\sqrt{3-x}=0$

Epsilon delta proofs for expressions with polynomial and exponential functions

Proving $\lim\limits_{x\to a}\frac{1}{x^2-2x}\sin\left(\frac{1}{x}-\frac{1}{x-2}\right)$ does not exist at $a=0,2$

Limit definition (2 variables)

Definition of limit (2 variables)

Using the definition of $\lim_{x\to a} f(x) = \infty$ , prove that $\lim_{x\to 0} \frac{4x+\sqrt{5}}{2x^3+x^2} = \infty$

Proving that the inverse of a bijective continuous function is continuous

Epsilon-Delta proof for a limit of a function

Proof that a limit of $x$ goes to $a$ exists for every real $a$.

Prove using the formal definition of a limit that $\lim_{x\to 0}\frac{3x+\sqrt 7}{x^3 + x^2}=\infty$

Proving Limit of Rational Function with Quadratic Numerator and Radical Denominator

Having trouble with limit by definition proof

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