Question

Proving of an inequality of a sequence

score 280 · Answer 1 · 2026-04-11 20:29:30

280

Views

Proving of an inequality of a sequence

Published on 11 Apr 2026 - 20:29

score 58 · Answer 2 · 2026-04-01 09:57:01

58

Views

How to sketch a function

Published on 01 Apr 2026 - 9:57

score 287 · Answer 3 · 2026-04-12 11:42:29

287

Views

A somewhat pathological function

Published on 12 Apr 2026 - 11:42

score 87 · Answer 4 · 2026-04-17 07:40:21

87

Views

Prove/disprove: If $f$ has an anti-derivative in $[a,b]$ then $\int_a^b f(x)dx$ exists and is finite

Published on 17 Apr 2026 - 7:40

score 74 · Answer 5 · 2026-04-15 21:16:55

74

Views

Ways to show $\left (\frac{n^2}{2^n} \right)$ is converging to zero

Published on 15 Apr 2026 - 21:16

score 56 · Answer 6 · 2026-04-15 02:30:12

56

Views

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

Published on 15 Apr 2026 - 2:30

score 49 · Answer 7 · 2026-04-09 06:24:31

49

Views

Is $a\in[a,a)$?

Published on 09 Apr 2026 - 6:24

score 47 · Answer 8 · 2026-03-26 22:24:11

47

Views

Different extensions of linear operators on euclidean space

Published on 26 Mar 2026 - 22:24

score 302 · Answer 9 · 2026-04-15 07:49:40

302

Views

$\forall \epsilon>0, \lim \sup_{n \rightarrow \infty} |a_n - a| < \epsilon \iff (a_n) \rightarrow a$?

Published on 15 Apr 2026 - 7:49

score 126 · Answer 10 · 2026-04-09 00:54:34

126

Views

Derivative of a function $y(x)= \sum\limits_{n=1}^\infty nx^{-n}$

Published on 09 Apr 2026 - 0:54

score 109 · Answer 11 · 2026-04-11 23:59:48

109

Views

Behaviour of a Sequence of Integrals $\int_{0}^{\pi}f(x)\sin(nx)dx$ at Infinity

Published on 11 Apr 2026 - 23:59

score 1.9k · Answer 12 · 2026-04-16 02:34:58

1.9k

Views

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

Published on 16 Apr 2026 - 2:34

score 191 · Answer 13 · 2026-04-14 17:10:36

191

Views

Pointwise convergence, bounded above by continuous function, and convergence of lower bounds.

Published on 14 Apr 2026 - 17:10

score 230 · Answer 14 · 2026-04-16 14:06:04

230

Views

Show that the operator $T[(x_n)_{n=1}^\infty] = \left(\frac{n-1}{n}x_n\right)_{n=1}^\infty$ has norm $1$

Published on 16 Apr 2026 - 14:06

score 32 · Answer 15 · 2026-04-11 21:51:33

32

Views

Show that the following set is a null set

Published on 11 Apr 2026 - 21:51

List Question

Proving of an inequality of a sequence

How to sketch a function

A somewhat pathological function

Prove/disprove: If $f$ has an anti-derivative in $[a,b]$ then $\int_a^b f(x)dx$ exists and is finite

Ways to show $\left (\frac{n^2}{2^n} \right)$ is converging to zero

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

Is $a\in[a,a)$?

Different extensions of linear operators on euclidean space

$\forall \epsilon>0, \lim \sup_{n \rightarrow \infty} |a_n - a| < \epsilon \iff (a_n) \rightarrow a$?

Derivative of a function $y(x)= \sum\limits_{n=1}^\infty nx^{-n}$

Behaviour of a Sequence of Integrals $\int_{0}^{\pi}f(x)\sin(nx)dx$ at Infinity

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

Pointwise convergence, bounded above by continuous function, and convergence of lower bounds.

Show that the operator $T[(x_n)_{n=1}^\infty] = \left(\frac{n-1}{n}x_n\right)_{n=1}^\infty$ has norm $1$

Show that the following set is a null set

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