Question

Uniform convergence of $\sum -\frac{\sin(nx)}{\log(n)^2}$ over a closed and bounded subinterval of $[0,2 \pi]$

score 58 · Answer 1 · 2026-04-14 02:28:48

58

Views

Uniform convergence of $\sum -\frac{\sin(nx)}{\log(n)^2}$ over a closed and bounded subinterval of $[0,2 \pi]$

Published on 14 Apr 2026 - 2:28

score 76 · Answer 2 · 2026-04-16 06:22:19

76

Views

For what values of $x$ is the $\sum_{n=1}^\infty \frac{(7x)^n}{n!}$ convergent?

Published on 16 Apr 2026 - 6:22

score 50 · Answer 3 · 2026-04-16 05:43:35

50

Views

Finding the coefficient of $x^n$ and radius of convergence of $f(x)=\frac{5}{1-3x}$

Published on 16 Apr 2026 - 5:43

score 135 · Answer 4 · 2026-04-16 11:31:04

135

Views

Do these explicit formulas for $\pi(x)$ derived from the explicit formulas for $\psi(x)$ and $\Pi(x)$ converge?

Published on 16 Apr 2026 - 11:31

score 2k · Answer 5 · 2026-04-15 05:55:14

2k

Views

A series such that $\sum {a_n}$ converges, but $\sum {a_{3n}}$ diverges.

Published on 15 Apr 2026 - 5:55

score 395 · Answer 6 · 2026-04-17 02:24:02

395

Views

Interesting limit with Poisson and Chi-squared Distribution

Published on 17 Apr 2026 - 2:24

score 63 · Answer 7 · 2026-04-13 05:32:20

63

Views

Convergence & absolute convergence of a complex series

Published on 13 Apr 2026 - 5:32

score 948 · Answer 8 · 2026-04-13 06:15:09

948

Views

Almost sure convergence of $\text{Poisson}(\frac 1n)$ to $0$

Published on 13 Apr 2026 - 6:15

score 998 · Answer 9 · 2026-04-15 04:17:34

998

Views

Asymptotic distribution of the MLE of $\theta$ such that $\log X_i$ is distributed as $N(\theta, \theta)$

Published on 15 Apr 2026 - 4:17

score 518 · Answer 10 · 2026-04-12 20:29:59

518

Views

Convergence for power series $\sum_{n=0}^{\infty}z^n(5+e^{i\pi n})^n$?

Published on 12 Apr 2026 - 20:29

score 51 · Answer 11 · 2026-04-16 15:14:35

51

Views

Is this a valid proof that $(a_n) \rightarrow l$ implies $(\sqrt{a_n}) \rightarrow \sqrt{l}$?

Published on 16 Apr 2026 - 15:14

score 66 · Answer 12 · 2026-04-15 05:11:06

66

Views

If $Y_n$ converges in mean square to $Y$, then prove/disprove $Y_n$ converges in $r$th mean to $Y$

Published on 15 Apr 2026 - 5:11

score 41 · Answer 13 · 2026-03-25 22:10:54

41

Views

Question about series convergence motivated by selecting subsets of size 3

Published on 25 Mar 2026 - 22:10

score 353 · Answer 14 · 2026-04-11 03:51:33

353

Views

Proving a product of sequences does not converge in measure to 0

Published on 11 Apr 2026 - 3:51

score 51 · Answer 15 · 2026-04-11 13:35:36

Let $g_n : [0,\frac{ 1} {2} ] → \mathbb R$ by $g_1 = g$ and $g_{n+1}(t) = \int_0^t g_n(s) ds,$ for all $n ≥ 1.$ Show that $\lim_{n→∞} n!g_n(t) = 0,$

List Question

Uniform convergence of $\sum -\frac{\sin(nx)}{\log(n)^2}$ over a closed and bounded subinterval of $[0,2 \pi]$

For what values of $x$ is the $\sum_{n=1}^\infty \frac{(7x)^n}{n!}$ convergent?

Finding the coefficient of $x^n$ and radius of convergence of $f(x)=\frac{5}{1-3x}$

Do these explicit formulas for $\pi(x)$ derived from the explicit formulas for $\psi(x)$ and $\Pi(x)$ converge?

A series such that $\sum {a_n}$ converges, but $\sum {a_{3n}}$ diverges.

Interesting limit with Poisson and Chi-squared Distribution

Convergence & absolute convergence of a complex series

Almost sure convergence of $\text{Poisson}(\frac 1n)$ to $0$

Asymptotic distribution of the MLE of $\theta$ such that $\log X_i$ is distributed as $N(\theta, \theta)$

Convergence for power series $\sum_{n=0}^{\infty}z^n(5+e^{i\pi n})^n$?

Is this a valid proof that $(a_n) \rightarrow l$ implies $(\sqrt{a_n}) \rightarrow \sqrt{l}$?

If $Y_n$ converges in mean square to $Y$, then prove/disprove $Y_n$ converges in $r$th mean to $Y$

Question about series convergence motivated by selecting subsets of size 3

Proving a product of sequences does not converge in measure to 0

Let $g_n : [0,\frac{ 1} {2} ] → \mathbb R$ by $g_1 = g$ and $g_{n+1}(t) = \int_0^t g_n(s) ds,$ for all $n ≥ 1.$ Show that $\lim_{n→∞} n!g_n(t) = 0,$

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