Question

Find possible intervals in which the root of a function is found

score 40 · Answer 1 · 2026-04-11 13:25:16

40

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Find possible intervals in which the root of a function is found

Published on 11 Apr 2026 - 13:25

score 418 · Answer 2 · 2026-04-17 06:27:54

418

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Show that the 3-tail of the sequence defined by $x_n := \frac{n}{n^2+16}$ is monotone decreasing

Published on 17 Apr 2026 - 6:27

score 694 · Answer 3 · 2026-04-11 06:24:36

694

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About proof of fundamental lemma of calculus of variation

Published on 11 Apr 2026 - 6:24

score 372 · Answer 4 · 2026-04-15 23:04:34

372

Views

Show that if $f:M\to\mathbb{R}$ is continuous, $a\in\mathbb{R}$, $\{x:f(x)<a\}$ is an open set in $M$.

Published on 15 Apr 2026 - 23:04

score 254 · Answer 5 · 2026-04-12 21:37:51

254

Views

Possible error in Donald Cohns measure theory on definition of $\mathscr{L}^{\infty}$

Published on 12 Apr 2026 - 21:37

score 431 · Answer 6 · 2026-04-10 22:01:48

431

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The Rolle's theorem for continuous function with one-sided derivative

Published on 10 Apr 2026 - 22:01

score 204 · Answer 7 · 2026-04-12 21:36:54

204

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Intermediate value property for measure

Published on 12 Apr 2026 - 21:36

score 74 · Answer 8 · 2026-04-22 21:11:33

74

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How can we handle this exponential integral?

Published on 22 Apr 2026 - 21:11

score 349 · Answer 9 · 2026-04-15 00:38:20

349

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Can we write $\ln(x) $ as an infinite sum of $n$ th roots?

Published on 15 Apr 2026 - 0:38

score 81 · Answer 10 · 2026-04-29 12:52:42

81

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If $a \ge 0$ and $b \ge 0$, then prove that $a \le b \Leftrightarrow a^2 \le b^2 \Leftrightarrow \sqrt{a} \le \sqrt{b}$

Published on 29 Apr 2026 - 12:52

score 1k · Answer 11 · 2026-04-09 18:22:26

1k

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Dense set equivalent definitions

Published on 09 Apr 2026 - 18:22

score 40 · Answer 12 · 2026-04-15 03:58:49

40

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Show that the function $u(x)=\arctan(\frac{1}{x})$ is in $L^p(0,+\infty)$ $ \ \forall p>1$

Published on 15 Apr 2026 - 3:58

score 421 · Answer 13 · 2026-05-05 02:04:53

421

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The weak limit of a sequence of diffeomorphisms is either a diffeomorphism or a constant?

Published on 05 May 2026 - 2:04

score 1.1k · Answer 14 · 2026-04-17 04:16:44

Let $(x_n)$ be a bounded sequence such that $x_{n+1} \geqslant x_n - \frac{1}{2^{n}}$ for every $n \in \mathbb{N}$, show that $(x_n)$ converges.

score 238 · Answer 15 · 2026-04-15 05:52:48

238

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Rudin POMA chapter 4 problem 4

Published on 15 Apr 2026 - 5:52

List Question

Find possible intervals in which the root of a function is found

Show that the 3-tail of the sequence defined by $x_n := \frac{n}{n^2+16}$ is monotone decreasing

About proof of fundamental lemma of calculus of variation

Show that if $f:M\to\mathbb{R}$ is continuous, $a\in\mathbb{R}$, $\{x:f(x)<a\}$ is an open set in $M$.

Possible error in Donald Cohns measure theory on definition of $\mathscr{L}^{\infty}$

The Rolle's theorem for continuous function with one-sided derivative

Intermediate value property for measure

How can we handle this exponential integral?

Can we write $\ln(x) $ as an infinite sum of $n$ th roots?

If $a \ge 0$ and $b \ge 0$, then prove that $a \le b \Leftrightarrow a^2 \le b^2 \Leftrightarrow \sqrt{a} \le \sqrt{b}$

Dense set equivalent definitions

Show that the function $u(x)=\arctan(\frac{1}{x})$ is in $L^p(0,+\infty)$ $ \ \forall p>1$

The weak limit of a sequence of diffeomorphisms is either a diffeomorphism or a constant?

Let $(x_n)$ be a bounded sequence such that $x_{n+1} \geqslant x_n - \frac{1}{2^{n}}$ for every $n \in \mathbb{N}$, show that $(x_n)$ converges.

Rudin POMA chapter 4 problem 4

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