Question

Monotone increasing sequence of functions

score 631 · Answer 1 · 2026-02-24 03:49:03

631

Views

Monotone increasing sequence of functions

Published on 24 Feb 2026 - 3:49

score 21 · Answer 2 · 2026-02-24 03:47:10

21

Views

Simple uniform convergence quesiton

Published on 24 Feb 2026 - 3:47

score 82 · Answer 3 · 2026-02-24 03:51:46

82

Views

limit of the sequence of functions $f_n(x) = \frac{\arctan(x^n)}{x^{n+1}}$

Published on 24 Feb 2026 - 3:51

score 63 · Answer 4 · 2026-02-24 03:48:42

63

Views

Approximating $\operatorname{sign}(f(x))$ with continuous functions?

Published on 24 Feb 2026 - 3:48

score 143 · Answer 5 · 2026-02-24 03:50:38

143

Views

Study the convergence of sequence of functions

Published on 24 Feb 2026 - 3:50

score 244 · Answer 6 · 2026-02-24 03:49:50

244

Views

Need help with proof: Existence of 2-pi periodic continuous function that does not converge at 0?

Published on 24 Feb 2026 - 3:49

score 78 · Answer 7 · 2026-02-23 23:09:20

78

Views

Pointwise limit of $f_N(x)=\frac{1}{N(x^2+1)}\cdot\sum_{n=1}^N\cos(nx)$

Published on 23 Feb 2026 - 23:09

score 17 · Answer 8 · 2026-02-24 03:52:34

17

Views

If $ (q^{i}_{k})_{k \in \mathbb{N}} $ is a sequence of rationals such that $q^{i}_{k} \rightarrow a_{i}$, then the polynomial $ p_{k} \rightarrow p $

Published on 24 Feb 2026 - 3:52

score 33 · Answer 9 · 2026-02-23 23:05:07

33

Views

$f_n \to f$ pointwise implies $f_n$ is bounded

Published on 23 Feb 2026 - 23:05

score 417 · Answer 10 · 2026-02-23 23:08:13

417

Views

Proving pointwise convergence of sequence of functions $f_n(x) = ne^{\frac{x}{n}} - n $

Published on 23 Feb 2026 - 23:08

score 148 · Answer 11 · 2026-02-24 03:46:40

148

Views

Proof that sequence converges to staircase function

Published on 24 Feb 2026 - 3:46

score 25 · Answer 12 · 2026-02-24 03:52:16

25

Views

Example of sequence of functions that are differentiable and converge uniformly to |x| on [-1,1]

Published on 24 Feb 2026 - 3:52

score 696 · Answer 13 · 2026-04-09 08:25:12

696

Views

A sequence of polynomials converging pointwise to a given continuous function on $\mathbb R$ convergence being uniform in every compact interval.

Published on 09 Apr 2026 - 8:25

score 168 · Answer 14 · 2026-02-24 03:49:39

168

Views

Prove any sequence a set has a uniformly convergent subsequence using Arzela-Ascoli Theorem

Published on 24 Feb 2026 - 3:49

score 156 · Answer 15 · 2026-04-09 08:27:54

156

Views

Find a sequence of functions ${p_n}$ which converges uniformly to $f$ on $[0,1]$ with $p_n(0)=p_n(1)=0.$

Published on 09 Apr 2026 - 8:27

List Question

Monotone increasing sequence of functions

Simple uniform convergence quesiton

limit of the sequence of functions $f_n(x) = \frac{\arctan(x^n)}{x^{n+1}}$

Approximating $\operatorname{sign}(f(x))$ with continuous functions?

Study the convergence of sequence of functions

Need help with proof: Existence of 2-pi periodic continuous function that does not converge at 0?

Pointwise limit of $f_N(x)=\frac{1}{N(x^2+1)}\cdot\sum_{n=1}^N\cos(nx)$

If $ (q^{i}_{k})_{k \in \mathbb{N}} $ is a sequence of rationals such that $q^{i}_{k} \rightarrow a_{i}$, then the polynomial $ p_{k} \rightarrow p $

$f_n \to f$ pointwise implies $f_n$ is bounded

Proving pointwise convergence of sequence of functions $f_n(x) = ne^{\frac{x}{n}} - n $

Proof that sequence converges to staircase function

Example of sequence of functions that are differentiable and converge uniformly to |x| on [-1,1]

A sequence of polynomials converging pointwise to a given continuous function on $\mathbb R$ convergence being uniform in every compact interval.

Prove any sequence a set has a uniformly convergent subsequence using Arzela-Ascoli Theorem

Find a sequence of functions ${p_n}$ which converges uniformly to $f$ on $[0,1]$ with $p_n(0)=p_n(1)=0.$

Trending Questions

Popular # Hahtags

Popular Questions