$x_n=\frac{1}{\sqrt{n}}(1/(\sqrt{1} + \sqrt{3}) + 1/(\sqrt{3} + \sqrt{5}) + \cdots + 1/(\sqrt{2n-1} + \sqrt{2n+1}))$. Find $N(\epsilon)$ by definition

score 59 · Answer 6 · 2020-09-30 05:42:30

59

Views

Find limit using definition

Published on 30 Sep 2020 - 5:42

score 63 · Answer 7 · 2020-09-30 06:38:02

63

Views

$x_n=n^{3/2}(\sqrt{n+1} + \sqrt{n-1}-2\sqrt{n})$. Find out if it has limit or not (with proof)

Published on 30 Sep 2020 - 6:38

score 149 · Answer 8 · 2020-10-01 08:22:15

149

Views

How to know which $\delta$ to choose for epsilon-delta proof regarding limits?

Published on 01 Oct 2020 - 8:22

score 61 · Answer 9 · 2020-10-02 05:42:40

61

Views

Limit of $f(x)=x^4$ as $x\to a$ by definition

Published on 02 Oct 2020 - 5:42

score 338 · Answer 10 · 2020-10-02 10:58:35

338

Views

Proving one sided limit with epsilon-delta and proving limit as $x \rightarrow -\infty$ with epsilon-delta

Published on 02 Oct 2020 - 10:58

score 171 · Answer 11 · 2020-10-02 20:34:55

171

Views

Limit of $f(x)=x/|x|$ as $x\to 0$

Published on 02 Oct 2020 - 20:34

score 46 · Answer 12 · 2020-10-03 15:15:25

46

Views

Existence of a $\delta$ given a limit

Published on 03 Oct 2020 - 15:15

score 427 · Answer 13 · 2020-10-03 20:38:22

427

Views

Show that $\ M$ =sup $\ E$ iff for all $\varepsilon \gt$ 0 there is an $\ x$ in $\ E$ such that $\ M$ $\ - \varepsilon \lt x \le M$

Published on 03 Oct 2020 - 20:38

score 62 · Answer 14 · 2020-10-03 23:35:20

62

Views

Proving a cubic limit with the epsilon/delta definition of a limit

Published on 03 Oct 2020 - 23:35

score 1k · Answer 15 · 2020-10-05 11:24:01

1k

Views

Show that $f$ is continuous at $a$ if every $f_i$ is continuous at $a$

Published on 05 Oct 2020 - 11:24

List Question

Epsilon-Delta proof of a quadratic limit

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$x_n=\frac{1}{\sqrt{n}}(1/(\sqrt{1} + \sqrt{3}) + 1/(\sqrt{3} + \sqrt{5}) + \cdots + 1/(\sqrt{2n-1} + \sqrt{2n+1}))$. Find $N(\epsilon)$ by definition

Find limit using definition

$x_n=n^{3/2}(\sqrt{n+1} + \sqrt{n-1}-2\sqrt{n})$. Find out if it has limit or not (with proof)

How to know which $\delta$ to choose for epsilon-delta proof regarding limits?

Limit of $f(x)=x^4$ as $x\to a$ by definition

Proving one sided limit with epsilon-delta and proving limit as $x \rightarrow -\infty$ with epsilon-delta

Limit of $f(x)=x/|x|$ as $x\to 0$

Existence of a $\delta$ given a limit

Show that $\ M$ =sup $\ E$ iff for all $\varepsilon \gt$ 0 there is an $\ x$ in $\ E$ such that $\ M$ $\ - \varepsilon \lt x \le M$

Proving a cubic limit with the epsilon/delta definition of a limit

Show that $f$ is continuous at $a$ if every $f_i$ is continuous at $a$

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