Question

Limit of $n \tan(\frac{x}{n})$

score 110 · Answer 1 · 2026-04-14 17:43:53

110

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Limit of $n \tan(\frac{x}{n})$

Published on 14 Apr 2026 - 17:43

score 142 · Answer 2 · 2026-04-13 13:05:20

142

Views

Picard Iteration: Proof of point wise convergence for system $f(y)=y^2$

Published on 13 Apr 2026 - 13:05

score 23 · Answer 3 · 2026-04-19 01:06:55

23

Views

Closed subgroups and submonoids of pointwise convergence.

Published on 19 Apr 2026 - 1:06

score 68 · Answer 4 · 2026-04-13 03:23:09

68

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Is the component wise convergence limit of a sequence defined on an infinite dimensional space the same as its uniform convergence limit?

Published on 13 Apr 2026 - 3:23

score 169 · Answer 5 · 2026-04-15 19:47:54

169

Views

Proof:$X_n\overset{a.s}{\rightarrow}X,Y_n\overset{a.s}{\rightarrow}Y \Rightarrow X_n+Y_n\overset{a.s.}{\rightarrow}X+Y$

Published on 15 Apr 2026 - 19:47

score 73 · Answer 6 · 2026-04-10 18:58:48

73

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Deterministic convergence implication implies the same implication for convergence in probability

Published on 10 Apr 2026 - 18:58

score 71 · Answer 7 · 2026-04-14 11:24:35

71

Views

Convergence of $\sum_{1}^{\infty}(-1)^n\frac{\sin(n\theta)}{n}$

Published on 14 Apr 2026 - 11:24

score 100 · Answer 8 · 2026-04-13 05:49:13

100

Views

Discussion about necessity of compactness in Theorem 7.13 of Rudin's PMA

Published on 13 Apr 2026 - 5:49

score 24 · Answer 9 · 2026-04-14 22:19:39

24

Views

How to prove the space ${g(x)=\int_{-c}^c F(w)e^{iwt}dw: F(w)\in L^2[-c,c]}$ with the norm $l_\infty$ is a Banach space.

Published on 14 Apr 2026 - 22:19

score 154 · Answer 10 · 2026-04-11 18:40:59

154

Views

Pointwise convergence in a Sturm-Liouvlle problem.

Published on 11 Apr 2026 - 18:40

score 151 · Answer 11 · 2026-04-10 19:39:23

151

Views

Visualizing where uniform convergence fails but pointwise convergence holds

Published on 10 Apr 2026 - 19:39

score 46 · Answer 12 · 2026-04-13 05:56:11

46

Views

Pointwise limit and norm limit in a sequence space

Published on 13 Apr 2026 - 5:56

score 67 · Answer 13 · 2026-04-14 04:12:31

67

Views

Show the convergence of $X_k$ and $Y_k$

Published on 14 Apr 2026 - 4:12

score 40 · Answer 14 · 2026-04-14 19:21:48

40

Views

If $\varphi_n$ converges pointwise to $f$, then does $\varphi'_n=\max_{1\leq j \leq n}\varphi_j$ converge pointwise to $f$?

Published on 14 Apr 2026 - 19:21

score 89 · Answer 15 · 2026-04-15 12:13:16

89

Views

pointwise convergence of $n\sin(n^2x)$

Published on 15 Apr 2026 - 12:13

List Question

Limit of $n \tan(\frac{x}{n})$

Picard Iteration: Proof of point wise convergence for system $f(y)=y^2$

Closed subgroups and submonoids of pointwise convergence.

Is the component wise convergence limit of a sequence defined on an infinite dimensional space the same as its uniform convergence limit?

Proof:$X_n\overset{a.s}{\rightarrow}X,Y_n\overset{a.s}{\rightarrow}Y \Rightarrow X_n+Y_n\overset{a.s.}{\rightarrow}X+Y$

Deterministic convergence implication implies the same implication for convergence in probability

Convergence of $\sum_{1}^{\infty}(-1)^n\frac{\sin(n\theta)}{n}$

Discussion about necessity of compactness in Theorem 7.13 of Rudin's PMA

How to prove the space ${g(x)=\int_{-c}^c F(w)e^{iwt}dw: F(w)\in L^2[-c,c]}$ with the norm $l_\infty$ is a Banach space.

Pointwise convergence in a Sturm-Liouvlle problem.

Visualizing where uniform convergence fails but pointwise convergence holds

Pointwise limit and norm limit in a sequence space

Show the convergence of $X_k$ and $Y_k$

If $\varphi_n$ converges pointwise to $f$, then does $\varphi'_n=\max_{1\leq j \leq n}\varphi_j$ converge pointwise to $f$?

pointwise convergence of $n\sin(n^2x)$

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