Question

Help in understanding proof of Theorem 1.11 from Rudin's Principles of Mathematical Analysis

score 267 · Answer 1 · 2026-04-11 15:04:19

267

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Help in understanding proof of Theorem 1.11 from Rudin's Principles of Mathematical Analysis

Published on 11 Apr 2026 - 15:04

score 409 · Answer 2 · 2026-05-11 08:44:21

409

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Clarification needed with Rudin Theorem 1.11

Published on 11 May 2026 - 8:44

score 276 · Answer 3 · 2026-04-16 05:36:41

276

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Find the least upper bounds and the greatest lower bound of $A_2$ = {$\frac{n-1}{n+1}$ $\frac{cos 2n\pi}{3}$ :$ n\in \mathbb{N}$}

Published on 16 Apr 2026 - 5:36

score 117 · Answer 4 · 2026-04-14 22:23:27

117

Views

Show $\sup\{b^{-1/n}\} = 1$

Published on 14 Apr 2026 - 22:23

score 302 · Answer 5 · 2026-04-16 09:35:15

302

Views

How do I find supremum and infimum of the set : $\{x\in\Bbb R\mid \exp(-x^2) < 1/2\}$ without using graph?

Published on 16 Apr 2026 - 9:35

score 272 · Answer 6 · 2026-04-13 17:42:34

272

Views

Which of the following options are true for continuous function $f$ and $g$ in $[0,1]$?

Published on 13 Apr 2026 - 17:42

score 339 · Answer 7 · 2026-04-10 20:19:07

339

Views

Existence of unique solution to $x^2=c$ for $c$ positive

Published on 10 Apr 2026 - 20:19

score 59 · Answer 8 · 2026-04-14 07:55:50

59

Views

Is it true that: "For any subset S of R^3 and any p in R^3 - S, we have dist(p, S) = dist(p, bd(S))"?

Published on 14 Apr 2026 - 7:55

score 204 · Answer 9 · 2026-04-10 14:20:34

204

Views

Finding a supremum of a two variable function

Published on 10 Apr 2026 - 14:20

score 88 · Answer 10 · 2026-04-10 15:06:02

88

Views

A non-negative function that is bounded by its integral

Published on 10 Apr 2026 - 15:06

score 54 · Answer 11 · 2026-05-11 02:04:32

54

Views

Formal proof of $\sup \limits_{0<r} f(r) = \sup \limits_{0<R} \sup \limits_{0<r<R} f(r)$

Published on 11 May 2026 - 2:04

score 1.2k · Answer 12 · 2026-04-13 23:11:12

1.2k

Views

Infimum and supremum of subset of $\mathbb{R}^2$ with lexicographical order

Published on 13 Apr 2026 - 23:11

score 65 · Answer 13 · 2026-04-15 16:58:05

65

Views

max and min of $f(x,y)=e^{x-y}$

Published on 15 Apr 2026 - 16:58

score 62 · Answer 14 · 2026-04-15 23:32:09

62

Views

Calculate $\sup\{|x|^2+3|y|^2;\;\;(x,y)\in \mathbb{C}^2,\;|x|^2+|y|^2=1\}$

Published on 15 Apr 2026 - 23:32

score 2.8k · Answer 15 · 2026-04-14 21:33:51

2.8k

Views

If sup A $\lt$ sup B show that an element of $B$ is an upper bound of $A$

Published on 14 Apr 2026 - 21:33

List Question

Help in understanding proof of Theorem 1.11 from Rudin's Principles of Mathematical Analysis

Clarification needed with Rudin Theorem 1.11

Find the least upper bounds and the greatest lower bound of $A_2$ = {$\frac{n-1}{n+1}$ $\frac{cos 2n\pi}{3}$ :$ n\in \mathbb{N}$}

Show $\sup\{b^{-1/n}\} = 1$

How do I find supremum and infimum of the set : $\{x\in\Bbb R\mid \exp(-x^2) < 1/2\}$ without using graph?

Which of the following options are true for continuous function $f$ and $g$ in $[0,1]$?

Existence of unique solution to $x^2=c$ for $c$ positive

Is it true that: "For any subset S of R^3 and any p in R^3 - S, we have dist(p, S) = dist(p, bd(S))"?

Finding a supremum of a two variable function

A non-negative function that is bounded by its integral

Formal proof of $\sup \limits_{0<r} f(r) = \sup \limits_{0<R} \sup \limits_{0<r<R} f(r)$

Infimum and supremum of subset of $\mathbb{R}^2$ with lexicographical order

max and min of $f(x,y)=e^{x-y}$

Calculate $\sup\{|x|^2+3|y|^2;\;\;(x,y)\in \mathbb{C}^2,\;|x|^2+|y|^2=1\}$

If sup A $\lt$ sup B show that an element of $B$ is an upper bound of $A$

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