Question

Studying the convergence of $(x _n)_{n\geqslant1}$, $(n^k x _n)_{n\geqslant1}$, $\ k>0$

score 43 · Answer 1 · 2026-04-16 01:09:18

43

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Studying the convergence of $(x _n)_{n\geqslant1}$, $(n^k x _n)_{n\geqslant1}$, $\ k>0$

Published on 16 Apr 2026 - 1:09

score 83 · Answer 2 · 2026-04-16 15:03:51

83

Views

show that $ \lim_{n\rightarrow\infty} v_{n}$exists.

Published on 16 Apr 2026 - 15:03

score 252 · Answer 3 · 2026-05-11 02:18:42

252

Views

Existence of a function satisfying zero boundary conditions for fractional Laplacian (1d)

Published on 11 May 2026 - 2:18

score 36 · Answer 4 · 2026-04-13 03:09:04

36

Views

Area where a polynomial in several variables is non-negative

Published on 13 Apr 2026 - 3:09

score 375 · Answer 5 · 2026-05-12 03:31:09

375

Views

Radius of convergence of Cauchy product – examples

Published on 12 May 2026 - 3:31

score 921 · Answer 6 · 2026-04-15 05:36:37

921

Views

Let $f$ be a measurable function. Show that $\left|f\right|^p$ is a measurable function.

Published on 15 Apr 2026 - 5:36

score 107 · Answer 7 · 2026-05-10 18:28:52

107

Views

Existence of closed $F\subset E$ such that $m(F)=\frac{1}{3}m(E)$ and $m(E)\in(0,\infty),E\subset \mathbb{R}$

Published on 10 May 2026 - 18:28

score 371 · Answer 8 · 2026-04-15 13:51:51

371

Views

$\sum\limits_{n=1}^{\infty}\frac{\sin(nx)}{{(n^4+x^4)}^{\frac{1}{3}}}$ How to major $\sum\limits_{n=1}^{\infty}{\sin(nx)}$?

Published on 15 Apr 2026 - 13:51

score 34 · Answer 9 · 2026-04-15 18:24:24

34

Views

$\lim_{t\to 0^+}u(t) u'(t)$ for a function $u \in C^1(0,1)$ with $u(0)=0$

Published on 15 Apr 2026 - 18:24

score 50 · Answer 10 · 2026-04-29 12:50:47

50

Views

Which of the following subsets are of classe $C^1$?

Published on 29 Apr 2026 - 12:50

score 99 · Answer 11 · 2026-04-17 10:57:45

99

Views

Integral limit $\lim _{t\to 0}\frac 1 t \int_0^1 (f(x+t)-f(x))x \, dx$

Published on 17 Apr 2026 - 10:57

score 84 · Answer 12 · 2026-04-15 13:01:30

84

Views

When is the integral $\int_S 1/t dt$ for $S$ a certain Lebesgue measurable set infinite?

Published on 15 Apr 2026 - 13:01

score 55 · Answer 13 · 2026-04-15 13:44:16

55

Views

Limit of an integral sequence

Published on 15 Apr 2026 - 13:44

score 241 · Answer 14 · 2026-04-18 13:50:19

241

Views

Growth of the sequence given by $x_0=1, x_{n+1}=\sqrt{x_n^2+\frac{1}{x_n^2}}$

Published on 18 Apr 2026 - 13:50

score 258 · Answer 15 · 2026-05-13 15:33:36

258

Views

Interior Gradient Estimate for the p-Elliptic equation

Published on 13 May 2026 - 15:33

List Question

Studying the convergence of $(x _n)_{n\geqslant1}$, $(n^k x _n)_{n\geqslant1}$, $\ k>0$

show that $ \lim_{n\rightarrow\infty} v_{n}$exists.

Existence of a function satisfying zero boundary conditions for fractional Laplacian (1d)

Area where a polynomial in several variables is non-negative

Radius of convergence of Cauchy product – examples

Let $f$ be a measurable function. Show that $\left|f\right|^p$ is a measurable function.

Existence of closed $F\subset E$ such that $m(F)=\frac{1}{3}m(E)$ and $m(E)\in(0,\infty),E\subset \mathbb{R}$

$\sum\limits_{n=1}^{\infty}\frac{\sin(nx)}{{(n^4+x^4)}^{\frac{1}{3}}}$ How to major $\sum\limits_{n=1}^{\infty}{\sin(nx)}$?

$\lim_{t\to 0^+}u(t) u'(t)$ for a function $u \in C^1(0,1)$ with $u(0)=0$

Which of the following subsets are of classe $C^1$?

Integral limit $\lim _{t\to 0}\frac 1 t \int_0^1 (f(x+t)-f(x))x \, dx$

When is the integral $\int_S 1/t dt$ for $S$ a certain Lebesgue measurable set infinite?

Limit of an integral sequence

Growth of the sequence given by $x_0=1, x_{n+1}=\sqrt{x_n^2+\frac{1}{x_n^2}}$

Interior Gradient Estimate for the p-Elliptic equation

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