Question

Proof verification : $n\cdot \int_{0}^{1} x^n \cdot f(x) \, \mathrm{d}x\underset{n\to+\infty}{\longrightarrow}f(1) $

score 143 · Answer 1 · 2026-03-25 11:16:32

143

Views

Proof verification : $n\cdot \int_{0}^{1} x^n \cdot f(x) \, \mathrm{d}x\underset{n\to+\infty}{\longrightarrow}f(1) $

Published on 25 Mar 2026 - 11:16

score 537 · Answer 2 · 2026-04-10 14:56:07

537

Views

Stuck in Tao’s proof for Kolmogorov extension theorem

Published on 10 Apr 2026 - 14:56

score 49 · Answer 3 · 2026-04-11 22:21:23

49

Views

Implication from an asymptotic equation.

Published on 11 Apr 2026 - 22:21

score 66 · Answer 4 · 2026-03-25 07:48:51

66

Views

Proving $xy+uv\leq\sqrt{x^2+u^2}\sqrt{y^2+v^2}$

Published on 25 Mar 2026 - 7:48

score 503 · Answer 5 · 2026-04-10 17:40:59

503

Views

How to bound a function

Published on 10 Apr 2026 - 17:40

score 149 · Answer 6 · 2026-04-08 22:36:12

149

Views

Prove that $\frac{1}{\epsilon}\int_{\mathbb{R}}f(t).\exp\left(\frac{-\pi(x-t)^2}{\epsilon^2}\right)dt \xrightarrow{\epsilon \to 0}f(x) $

Published on 08 Apr 2026 - 22:36

score 65 · Answer 7 · 2026-04-13 01:33:36

65

Views

series of products of two sequences

Published on 13 Apr 2026 - 1:33

score 508 · Answer 8 · 2026-04-10 17:40:51

508

Views

How to prove an inequality with $\tanh(x)$

Published on 10 Apr 2026 - 17:40

score 153 · Answer 9 · 2026-04-12 15:48:02

153

Views

Evaluate $\int_1^t \frac 1{x} dx, t>1$ as a regulated integral

Published on 12 Apr 2026 - 15:48

score 480 · Answer 10 · 2026-04-09 01:50:19

480

Views

Logistic map and chaos on a Cantor set

Published on 09 Apr 2026 - 1:50

score 914 · Answer 11 · 2026-04-13 09:41:36

914

Views

A sequence of continuous functions that converges uniformly to a continuous function is equicontinuous

Published on 13 Apr 2026 - 9:41

score 782 · Answer 12 · 2026-04-13 02:29:41

782

Views

Proving that a sequence converges to L

Published on 13 Apr 2026 - 2:29

score 33 · Answer 13 · 2026-04-10 12:38:43

33

Views

inequality in $l^p$ space

Published on 10 Apr 2026 - 12:38

score 166 · Answer 14 · 2026-04-09 00:28:48

166

Views

Reconstructing an analytic function from its Taylor series at a point

Published on 09 Apr 2026 - 0:28

score 397 · Answer 15 · 2026-04-13 00:48:26

397

Views

Show that the sequence $\lim_{n\rightarrow\infty} \log(n)$ does not converge

Published on 13 Apr 2026 - 0:48

List Question

Proof verification : $n\cdot \int_{0}^{1} x^n \cdot f(x) \, \mathrm{d}x\underset{n\to+\infty}{\longrightarrow}f(1) $

Stuck in Tao’s proof for Kolmogorov extension theorem

Implication from an asymptotic equation.

Proving $xy+uv\leq\sqrt{x^2+u^2}\sqrt{y^2+v^2}$

How to bound a function

Prove that $\frac{1}{\epsilon}\int_{\mathbb{R}}f(t).\exp\left(\frac{-\pi(x-t)^2}{\epsilon^2}\right)dt \xrightarrow{\epsilon \to 0}f(x) $

series of products of two sequences

How to prove an inequality with $\tanh(x)$

Evaluate $\int_1^t \frac 1{x} dx, t>1$ as a regulated integral

Logistic map and chaos on a Cantor set

A sequence of continuous functions that converges uniformly to a continuous function is equicontinuous

Proving that a sequence converges to L

inequality in $l^p$ space

Reconstructing an analytic function from its Taylor series at a point

Show that the sequence $\lim_{n\rightarrow\infty} \log(n)$ does not converge

Trending Questions

Popular # Hahtags

Popular Questions