Question

Does there exist a non-increasing sequence with these properties?

score 154 · Answer 1 · 2018-01-28 06:07:07

154

Views

Does there exist a non-increasing sequence with these properties?

Published on 28 Jan 2018 - 6:07

score 31 · Answer 2 · 2018-01-28 09:08:24

31

Views

Proving intersection and union of a particular indexed set

Published on 28 Jan 2018 - 9:08

score 55 · Answer 3 · 2026-03-29 07:19:42

55

Views

check if $\sqrt{x} \cdot \log(x-1)$ is differentiable $\forall x \in (2,4)$

Published on 29 Mar 2026 - 7:19

score 1.9k · Answer 4 · 2026-02-23 07:34:14

1.9k

Views

Every non absolutely convergent series can be rearranged to converge to any $\lim \sup / \inf$ (Rudin)

Published on 23 Feb 2026 - 7:34

score 157 · Answer 5 · 2026-03-22 14:16:48

157

Views

Is $f(x,y) = \frac{xy}{(x^2 + y^2)^{\frac{1}{3}}}$ differentiable at $(0,0)$?

Published on 22 Mar 2026 - 14:16

score 450 · Answer 6 · 2026-03-24 23:58:04

450

Views

Show that the directional derivatives of $f$ and $g$ exist everywhere, but that there is a $u \neq 0$ for which $h'(0,u)$ does not

Published on 24 Mar 2026 - 23:58

score 751 · Answer 7 · 2026-04-04 02:43:45

751

Views

Every rearrangement of an absolutely convergent series converges to the same sum (Rudin)

Published on 04 Apr 2026 - 2:43

score 40 · Answer 8 · 2026-03-25 17:40:46

40

Views

plot the set $M:= \{z \in \mathbb{C}; Im \left( \frac{z+i}{z-2} \right) = 0\}$

Published on 25 Mar 2026 - 17:40

score 332 · Answer 9 · 2026-03-25 04:42:46

332

Views

how to get the limit of $\lim_{n \to \infty}\left( \sqrt{n+\sqrt{n}}-\sqrt{n} \right)$

Published on 25 Mar 2026 - 4:42

score 77 · Answer 10 · 2026-04-02 07:09:09

77

Views

Thomae function -- points lying on the same line

Published on 02 Apr 2026 - 7:09

score 89 · Answer 11 · 2026-03-25 13:59:43

89

Views

On a variation of Knopp's inequality

Published on 25 Mar 2026 - 13:59

score 235 · Answer 12 · 2026-03-25 13:51:46

235

Views

A polynomial differential inequality

Published on 25 Mar 2026 - 13:51

score 219 · Answer 13 · 2026-03-26 11:04:13

219

Views

Exercise on showing that a function with a jump discontinuity must have infinite energy

Published on 26 Mar 2026 - 11:04

score 385 · Answer 14 · 2026-04-04 05:11:49

385

Views

Uniform limit not being equal to pointwise limit?

Published on 04 Apr 2026 - 5:11

score 68 · Answer 15 · 2026-03-25 13:34:21

68

Views

Let $a_{n+1}=\frac{2a_{n}+1}{a_{n}+1}$ .For $a_{1}$=1 can we show that $a_{n}$<2

Published on 25 Mar 2026 - 13:34

List Question

Does there exist a non-increasing sequence with these properties?

Proving intersection and union of a particular indexed set

check if $\sqrt{x} \cdot \log(x-1)$ is differentiable $\forall x \in (2,4)$

Every non absolutely convergent series can be rearranged to converge to any $\lim \sup / \inf$ (Rudin)

Is $f(x,y) = \frac{xy}{(x^2 + y^2)^{\frac{1}{3}}}$ differentiable at $(0,0)$?

Show that the directional derivatives of $f$ and $g$ exist everywhere, but that there is a $u \neq 0$ for which $h'(0,u)$ does not

Every rearrangement of an absolutely convergent series converges to the same sum (Rudin)

plot the set $M:= \{z \in \mathbb{C}; Im \left( \frac{z+i}{z-2} \right) = 0\}$

how to get the limit of $\lim_{n \to \infty}\left( \sqrt{n+\sqrt{n}}-\sqrt{n} \right)$

Thomae function -- points lying on the same line

On a variation of Knopp's inequality

A polynomial differential inequality

Exercise on showing that a function with a jump discontinuity must have infinite energy

Uniform limit not being equal to pointwise limit?

Let $a_{n+1}=\frac{2a_{n}+1}{a_{n}+1}$ .For $a_{1}$=1 can we show that $a_{n}$<2

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