List questions from epsilon-delta

Published on 25 Feb 2015 - 20:00

836

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Use $\epsilon$ - $\delta$ definition to prove $\lim_{z\to 1}$ $\frac{z+2}{z+3i}$ $=$ $\frac{3}{1+3i}$

Published on 25 Feb 2015 - 20:17

661

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Proving continuity using $\epsilon$ and $\delta$

Published on 25 Feb 2015 - 23:18

229

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Why can't this limit be proved using definition like others?

Published on 28 Feb 2015 - 5:05

3.9k

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Proof of the Product Limit Law

Published on 28 Feb 2015 - 10:07

372

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Find $\lim \limits_{(x,y) \rightarrow (0,0)}\frac{x^3 y^3 }{x^2+y^2}$ (epsilon delta proof)

Published on 28 Feb 2015 - 15:00

86

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Proof of an Limit

Published on 28 Feb 2015 - 18:07

60

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Prove if $x_n \leq k$ $\forall n \in N$ where $k$ is some constant integer, and $x_n \rightarrow x$, then $x \leq k$.

Published on 01 Mar 2015 - 21:23

1.9k

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Quantifiers for formal definition of a limit

Published on 30 Mar 2026 - 11:22

1.8k

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Proving multivariable limit doesn't exist using $\epsilon$ - $\delta$ definition?

Published on 04 Mar 2015 - 2:14

115

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Proving continuity of $x^{2}-2$ with $\epsilon$ and $\delta$

Published on 05 Mar 2015 - 20:35

3k

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Prove $f(x) = x^3$ is continuous at $ x=2.$

Published on 05 Mar 2015 - 23:58

1k

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Prove $f(x) = 1/x$ is continuous at $x = 1/2$

Published on 06 Mar 2015 - 2:03

71

Views

Help show a statistic converges in probability given another statistic that converges in probability

Published on 31 Mar 2026 - 20:05

2.2k

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Epsilon-Natural number proof

Published on 07 Mar 2015 - 6:01

List Question

proof : f continuous at a then |f| is continuous at a

Use $\epsilon$ - $\delta$ definition to prove $\lim_{z\to 1}$ $\frac{z+2}{z+3i}$ $=$ $\frac{3}{1+3i}$

Proving continuity using $\epsilon$ and $\delta$

Why can't this limit be proved using definition like others?

Proof of the Product Limit Law

Find $\lim \limits_{(x,y) \rightarrow (0,0)}\frac{x^3 y^3 }{x^2+y^2}$ (epsilon delta proof)

Proof of an Limit

Prove if $x_n \leq k$ $\forall n \in N$ where $k$ is some constant integer, and $x_n \rightarrow x$, then $x \leq k$.

Quantifiers for formal definition of a limit

Proving multivariable limit doesn't exist using $\epsilon$ - $\delta$ definition?

Proving continuity of $x^{2}-2$ with $\epsilon$ and $\delta$

Prove $f(x) = x^3$ is continuous at $ x=2.$

Prove $f(x) = 1/x$ is continuous at $x = 1/2$

Help show a statistic converges in probability given another statistic that converges in probability

Epsilon-Natural number proof

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