Question

does a small variation in the constants of a power series result in a small variation in its radius of convergence

score 58 · Answer 1 · 2019-11-15 09:10:38

58

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does a small variation in the constants of a power series result in a small variation in its radius of convergence

Published on 15 Nov 2019 - 9:10

score 99 · Answer 2 · 2019-11-16 16:23:36

99

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Delta Epsilon Proof Check: Show $\lim_{x \to 0} x^3+x^2 = 0$

Published on 16 Nov 2019 - 16:23

score 141 · Answer 3 · 2019-11-16 18:24:54

141

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Understanding Delta-Epsilon

Published on 16 Nov 2019 - 18:24

score 35 · Answer 4 · 2019-11-17 21:32:16

35

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Let $b \in \mathbb{R}$. How do I show that $\frac{b}{n}_{n \in \mathbb{N}}$ → 0?

Published on 17 Nov 2019 - 21:32

score 43 · Answer 5 · 2019-11-18 15:39:12

43

Views

Certain theorems assume 'any $a > 0$'; does this mean we can use $lim_{a \to 0}$ as well?

Published on 18 Nov 2019 - 15:39

score 189 · Answer 6 · 2019-11-18 21:51:31

189

Views

Use the epsilon-delta definition to show that $\lim_{x\to\sqrt2} \frac{1}{2}(\frac{2}{x}+x) = \sqrt2$

Published on 18 Nov 2019 - 21:51

score 108 · Answer 7 · 2019-11-19 20:43:57

108

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Prove that if $f(x) = \frac{\sqrt{x} - \sqrt{a}}{x-a}$, then $f$ has a limit at a.

Published on 19 Nov 2019 - 20:43

score 161 · Answer 8 · 2019-11-19 21:21:19

161

Views

Use the $\epsilon$ - $\delta$ definition to show that $\lim_{x\to \sqrt2} \frac{1}{2}(\frac{2}{x}+x) = \sqrt2$

Published on 19 Nov 2019 - 21:21

score 72 · Answer 9 · 2019-11-21 18:56:24

72

Views

$\lim_{x\to 1} (x^3+2x^2-2)=1$ using the definition

Published on 21 Nov 2019 - 18:56

score 43 · Answer 10 · 2019-11-24 23:51:18

43

Views

Lim epsilon delta

Published on 24 Nov 2019 - 23:51

score 116 · Answer 11 · 2019-11-29 03:27:52

116

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Modification on Epsilon-Delta Definition of Continuity - Seeking a Discontinuous Function

Published on 29 Nov 2019 - 3:27

score 143 · Answer 12 · 2019-12-02 01:32:36

143

Views

Limit of $\dfrac{t}{\ln(1+t)}$ without L'Hospital

Published on 02 Dec 2019 - 1:32

score 938 · Answer 13 · 2019-12-02 21:44:05

938

Views

epsilon delta proof with triangle inequality

Published on 02 Dec 2019 - 21:44

score 58 · Answer 14 · 2019-12-04 16:43:28

58

Views

Prove $\lim_{x \to0}{x\sin\left(\frac1{x}\right)} = 0$ by using $\epsilon$-$\delta$ method.

Published on 04 Dec 2019 - 16:43

score 58 · Answer 15 · 2019-12-08 18:51:09

58

Views

find $\lim_{n \to \infty} \frac{5n^{3} + 3n - 7}{11n^{3}+n}$ and use the definition of the limit to verify

Published on 08 Dec 2019 - 18:51

List Question

does a small variation in the constants of a power series result in a small variation in its radius of convergence

Delta Epsilon Proof Check: Show $\lim_{x \to 0} x^3+x^2 = 0$

Understanding Delta-Epsilon

Let $b \in \mathbb{R}$. How do I show that $\frac{b}{n}_{n \in \mathbb{N}}$ → 0?

Certain theorems assume 'any $a > 0$'; does this mean we can use $lim_{a \to 0}$ as well?

Use the epsilon-delta definition to show that $\lim_{x\to\sqrt2} \frac{1}{2}(\frac{2}{x}+x) = \sqrt2$

Prove that if $f(x) = \frac{\sqrt{x} - \sqrt{a}}{x-a}$, then $f$ has a limit at a.

Use the $\epsilon$ - $\delta$ definition to show that $\lim_{x\to \sqrt2} \frac{1}{2}(\frac{2}{x}+x) = \sqrt2$

$\lim_{x\to 1} (x^3+2x^2-2)=1$ using the definition

Lim epsilon delta

Modification on Epsilon-Delta Definition of Continuity - Seeking a Discontinuous Function

Limit of $\dfrac{t}{\ln(1+t)}$ without L'Hospital

epsilon delta proof with triangle inequality

Prove $\lim_{x \to0}{x\sin\left(\frac1{x}\right)} = 0$ by using $\epsilon$-$\delta$ method.

find $\lim_{n \to \infty} \frac{5n^{3} + 3n - 7}{11n^{3}+n}$ and use the definition of the limit to verify

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