Question

Proving $\prod_{k=1}^n (1+c_{k,n}) \to e^\lambda$ as $n\to \infty$ under certain assumptions

score 40 · Answer 1 · 2026-04-14 01:32:09

40

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Proving $\prod_{k=1}^n (1+c_{k,n}) \to e^\lambda$ as $n\to \infty$ under certain assumptions

Published on 14 Apr 2026 - 1:32

score 440 · Answer 2 · 2026-04-16 03:31:25

440

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$\sup_{y \in Y} \inf_{x \in X}g(x,y) \leq \inf_{x \in X} \sup_{y \in Y} g(x,y)$

Published on 16 Apr 2026 - 3:31

score 169 · Answer 3 · 2026-04-16 00:58:54

169

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Let $Y$ be a closed and convex subset of $\mathbb{R}^n$ such that $ 0\in Y$ and $Y \cap \mathbb{R}^{n}_{+}=\{0\}$...

Published on 16 Apr 2026 - 0:58

score 286 · Answer 4 · 2026-04-16 04:18:58

286

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Example Sequence $\{ b_n \}$ with $\lim_{n \rightarrow \infty} nb_n = 0$ but $\sum_{n=1}^{\infty} b_n$ diverges.

Published on 16 Apr 2026 - 4:18

score 52 · Answer 5 · 2026-04-14 21:58:22

52

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Define a metric space $C(K)=\left \{ f: K\rightarrow \mathbb{R} \right\} $ , where $f$ is continuous function on K.

Published on 14 Apr 2026 - 21:58

score 198 · Answer 6 · 2026-04-15 00:21:07

198

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Evans 1st edition, exercise 7, chapter 5

Published on 15 Apr 2026 - 0:21

score 88 · Answer 7 · 2026-04-16 02:35:43

88

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Prove $\int_0^1 x^n \sin x \mathrm{d}x < \frac{1}{n+1}$

Published on 16 Apr 2026 - 2:35

score 101 · Answer 8 · 2026-04-09 00:24:21

101

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Solve equation involving error function

Published on 09 Apr 2026 - 0:24

score 809 · Answer 9 · 2026-04-22 19:55:14

809

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Arzela-Ascoli theorem exercise

Published on 22 Apr 2026 - 19:55

score 904 · Answer 10 · 2026-04-13 23:45:21

904

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Mean Value Theorem for Riemann-Stieltjes Integration

Published on 13 Apr 2026 - 23:45

score 327 · Answer 11 · 2026-04-13 18:23:47

327

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finding box of maximum surface area on sphere with lagrange multipliers

Published on 13 Apr 2026 - 18:23

score 51 · Answer 12 · 2026-04-12 11:41:42

51

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A question regarding my proof

Published on 12 Apr 2026 - 11:41

score 445 · Answer 13 · 2026-04-16 12:58:11

445

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Prob. 20 (a) & (b), Exercises 8.9, in Apostol's CALCULUS vol. 2: If $f^\prime(x;y)=0$ for every $x$ and for every $y$, . . .

Published on 16 Apr 2026 - 12:58

score 53 · Answer 14 · 2026-04-16 03:23:34

53

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Pointwise convergence of stopped uniformly convergent functions

Published on 16 Apr 2026 - 3:23

score 157 · Answer 15 · 2026-04-11 14:38:37

157

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A Question concerning the definition of Analytic functions

Published on 11 Apr 2026 - 14:38

List Question

Proving $\prod_{k=1}^n (1+c_{k,n}) \to e^\lambda$ as $n\to \infty$ under certain assumptions

$\sup_{y \in Y} \inf_{x \in X}g(x,y) \leq \inf_{x \in X} \sup_{y \in Y} g(x,y)$

Let $Y$ be a closed and convex subset of $\mathbb{R}^n$ such that $ 0\in Y$ and $Y \cap \mathbb{R}^{n}_{+}=\{0\}$...

Example Sequence $\{ b_n \}$ with $\lim_{n \rightarrow \infty} nb_n = 0$ but $\sum_{n=1}^{\infty} b_n$ diverges.

Define a metric space $C(K)=\left \{ f: K\rightarrow \mathbb{R} \right\} $ , where $f$ is continuous function on K.

Evans 1st edition, exercise 7, chapter 5

Prove $\int_0^1 x^n \sin x \mathrm{d}x < \frac{1}{n+1}$

Solve equation involving error function

Arzela-Ascoli theorem exercise

Mean Value Theorem for Riemann-Stieltjes Integration

finding box of maximum surface area on sphere with lagrange multipliers

A question regarding my proof

Prob. 20 (a) & (b), Exercises 8.9, in Apostol's CALCULUS vol. 2: If $f^\prime(x;y)=0$ for every $x$ and for every $y$, . . .

Pointwise convergence of stopped uniformly convergent functions

A Question concerning the definition of Analytic functions

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