Question

How to prove these statements?

score 47 · Answer 1 · 2020-05-19 13:56:26

47

Views

How to prove these statements?

Published on 19 May 2020 - 13:56

score 57 · Answer 2 · 2026-03-29 08:35:32

57

Views

Finding a connection between two types of convergence

Published on 29 Mar 2026 - 8:35

score 47 · Answer 3 · 2020-05-19 15:36:12

47

Views

Convergence of polynomial to $0$ in uniform norm in relation with convergence to $0$ of its coefficients

Published on 19 May 2020 - 15:36

score 380 · Answer 4 · 2020-05-19 19:11:57

380

Views

How do we prove the set of bounded and continuous functions between metric spaces is a complete subspace from the set of bounded functions?

Published on 19 May 2020 - 19:11

score 117 · Answer 5 · 2026-03-28 23:19:34

117

Views

Prove that absolute convergence of sup norms implies uniform convergence of functions (Weierstrass M-test)

Published on 28 Mar 2026 - 23:19

score 55 · Answer 6 · 2026-04-05 21:29:07

55

Views

A stricter condition of Dini's Theorem

Published on 05 Apr 2026 - 21:29

score 207 · Answer 7 · 2026-02-24 16:09:13

207

Views

Let $f_n(x) = {nx\over 1+nx^2}$ on the domain $[-1,1]$

Published on 24 Feb 2026 - 16:09

score 32 · Answer 8 · 2020-05-20 08:47:55

32

Views

A case where pointwise convergence implies uniform convergence

Published on 20 May 2020 - 8:47

score 98 · Answer 9 · 2026-04-05 21:30:14

98

Views

Help with understanding of compact support on function with finite integral

Published on 05 Apr 2026 - 21:30

score 14 · Answer 10 · 2020-05-20 23:57:29

14

Views

Prove Uniform Convergence of Sequence of Functions Fails

Published on 20 May 2020 - 23:57

score 846 · Answer 11 · 2026-03-26 14:23:02

846

Views

Prove that a sequence $f_n$ of functions which are bounded and converges uniformly to $f$, which is also bounded, is uniformly bounded

Published on 26 Mar 2026 - 14:23

score 614 · Answer 12 · 2020-05-21 01:25:54

614

Views

Suppose that each $f_n$ is continuous, it converges uniformly to $f$ and $x_n$ converges to $x$. Prove that $f_n(x_n)$ converges to $f(x)$.

Published on 21 May 2020 - 1:25

score 116 · Answer 13 · 2020-05-21 18:15:38

116

Views

Convergence of $(f_n)$

Published on 21 May 2020 - 18:15

score 139 · Answer 14 · 2020-05-21 18:23:50

139

Views

prove that a sequence of functions is uniformly convergent

Published on 21 May 2020 - 18:23

score 88 · Answer 15 · 2026-04-03 04:58:19

88

Views

How do we prove that we can exchange limits when $f_n\to f$ uniformly?

Published on 03 Apr 2026 - 4:58

List Question

How to prove these statements?

Finding a connection between two types of convergence

Convergence of polynomial to $0$ in uniform norm in relation with convergence to $0$ of its coefficients

How do we prove the set of bounded and continuous functions between metric spaces is a complete subspace from the set of bounded functions?

Prove that absolute convergence of sup norms implies uniform convergence of functions (Weierstrass M-test)

A stricter condition of Dini's Theorem

Let $f_n(x) = {nx\over 1+nx^2}$ on the domain $[-1,1]$

A case where pointwise convergence implies uniform convergence

Help with understanding of compact support on function with finite integral

Prove Uniform Convergence of Sequence of Functions Fails

Prove that a sequence $f_n$ of functions which are bounded and converges uniformly to $f$, which is also bounded, is uniformly bounded

Suppose that each $f_n$ is continuous, it converges uniformly to $f$ and $x_n$ converges to $x$. Prove that $f_n(x_n)$ converges to $f(x)$.

Convergence of $(f_n)$

prove that a sequence of functions is uniformly convergent

How do we prove that we can exchange limits when $f_n\to f$ uniformly?

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